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Finding the Fourth Proportional to 562.12, 841.74 and 470.32

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Solution

The fourth proportional to 562.12, 841.74 and 470.32 is: 704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.12 : 841.74 = 470.32 : x
  2. Step 2: Convert to fraction form
    562.12/841.74 = 470.32/x
  3. Step 3: Cross multiply
    562.12x = 841.74 × 470.32
  4. Step 4: Simplify right side
    562.12x = 395,887.16
  5. Step 5: Solve for x
    x = 395,887.16/562.12
  6. Step 6: Final answer
    x = 704.28

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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.