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Finding the Fourth Proportional to 658.76, 909.12 and 410.08

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Solution

The fourth proportional to 658.76, 909.12 and 410.08 is: 565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.76 : 909.12 = 410.08 : x
  2. Step 2: Convert to fraction form
    658.76/909.12 = 410.08/x
  3. Step 3: Cross multiply
    658.76x = 909.12 × 410.08
  4. Step 4: Simplify right side
    658.76x = 372,811.93
  5. Step 5: Solve for x
    x = 372,811.93/658.76
  6. Step 6: Final answer
    x = 565.93

Related Problems

Find fourth proportional to 329.38, 454.56 and 205.04
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.