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Finding the Fourth Proportional to 670.52, 925.10 and 434.65

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Solution

The fourth proportional to 670.52, 925.10 and 434.65 is: 599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.52 : 925.10 = 434.65 : x
  2. Step 2: Convert to fraction form
    670.52/925.10 = 434.65/x
  3. Step 3: Cross multiply
    670.52x = 925.10 × 434.65
  4. Step 4: Simplify right side
    670.52x = 402,095.80
  5. Step 5: Solve for x
    x = 402,095.80/670.52
  6. Step 6: Final answer
    x = 599.68

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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.