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Finding the Fourth Proportional to 477.46, 657.00 and 463.19

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Solution

The fourth proportional to 477.46, 657.00 and 463.19 is: 637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.46 : 657.00 = 463.19 : x
  2. Step 2: Convert to fraction form
    477.46/657.00 = 463.19/x
  3. Step 3: Cross multiply
    477.46x = 657.00 × 463.19
  4. Step 4: Simplify right side
    477.46x = 304,310.23
  5. Step 5: Solve for x
    x = 304,310.23/477.46
  6. Step 6: Final answer
    x = 637.35

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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.