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Finding the Fourth Proportional to 477.47, 659.07 and 462.08

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Solution

The fourth proportional to 477.47, 659.07 and 462.08 is: 637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.47 : 659.07 = 462.08 : x
  2. Step 2: Convert to fraction form
    477.47/659.07 = 462.08/x
  3. Step 3: Cross multiply
    477.47x = 659.07 × 462.08
  4. Step 4: Simplify right side
    477.47x = 304,539.77
  5. Step 5: Solve for x
    x = 304,539.77/477.47
  6. Step 6: Final answer
    x = 637.83

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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.