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Finding the Fourth Proportional to 477.80, 714.70 and 429.40

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Solution

The fourth proportional to 477.80, 714.70 and 429.40 is: 642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.80 : 714.70 = 429.40 : x
  2. Step 2: Convert to fraction form
    477.80/714.70 = 429.40/x
  3. Step 3: Cross multiply
    477.80x = 714.70 × 429.40
  4. Step 4: Simplify right side
    477.80x = 306,892.18
  5. Step 5: Solve for x
    x = 306,892.18/477.80
  6. Step 6: Final answer
    x = 642.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.