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Finding the Fourth Proportional to 477.06, 658.06 and 302.10

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Solution

The fourth proportional to 477.06, 658.06 and 302.10 is: 416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.06 : 658.06 = 302.10 : x
  2. Step 2: Convert to fraction form
    477.06/658.06 = 302.10/x
  3. Step 3: Cross multiply
    477.06x = 658.06 × 302.10
  4. Step 4: Simplify right side
    477.06x = 198,799.93
  5. Step 5: Solve for x
    x = 198,799.93/477.06
  6. Step 6: Final answer
    x = 416.72

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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.