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Finding the Fourth Proportional to 477.51, 658.13 and 410.95

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Solution

The fourth proportional to 477.51, 658.13 and 410.95 is: 566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.51 : 658.13 = 410.95 : x
  2. Step 2: Convert to fraction form
    477.51/658.13 = 410.95/x
  3. Step 3: Cross multiply
    477.51x = 658.13 × 410.95
  4. Step 4: Simplify right side
    477.51x = 270,459.14
  5. Step 5: Solve for x
    x = 270,459.14/477.51
  6. Step 6: Final answer
    x = 566.40

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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.