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Finding the Fourth Proportional to 463.04, 637.98 and 429.56

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Solution

The fourth proportional to 463.04, 637.98 and 429.56 is: 591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.04 : 637.98 = 429.56 : x
  2. Step 2: Convert to fraction form
    463.04/637.98 = 429.56/x
  3. Step 3: Cross multiply
    463.04x = 637.98 × 429.56
  4. Step 4: Simplify right side
    463.04x = 274,050.69
  5. Step 5: Solve for x
    x = 274,050.69/463.04
  6. Step 6: Final answer
    x = 591.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.