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Finding the Fourth Proportional to 508.10, 700.31 and 342.25

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Solution

The fourth proportional to 508.10, 700.31 and 342.25 is: 471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.10 : 700.31 = 342.25 : x
  2. Step 2: Convert to fraction form
    508.10/700.31 = 342.25/x
  3. Step 3: Cross multiply
    508.10x = 700.31 × 342.25
  4. Step 4: Simplify right side
    508.10x = 239,680.20
  5. Step 5: Solve for x
    x = 239,680.20/508.10
  6. Step 6: Final answer
    x = 471.72

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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.