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Finding the Fourth Proportional to 470.17, 704.68 and 354.24

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Solution

The fourth proportional to 470.17, 704.68 and 354.24 is: 530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.17 : 704.68 = 354.24 : x
  2. Step 2: Convert to fraction form
    470.17/704.68 = 354.24/x
  3. Step 3: Cross multiply
    470.17x = 704.68 × 354.24
  4. Step 4: Simplify right side
    470.17x = 249,624.96
  5. Step 5: Solve for x
    x = 249,624.96/470.17
  6. Step 6: Final answer
    x = 530.93

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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.