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Finding the Fourth Proportional to 507.40, 761.08 and 352.88

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Solution

The fourth proportional to 507.40, 761.08 and 352.88 is: 529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.40 : 761.08 = 352.88 : x
  2. Step 2: Convert to fraction form
    507.40/761.08 = 352.88/x
  3. Step 3: Cross multiply
    507.40x = 761.08 × 352.88
  4. Step 4: Simplify right side
    507.40x = 268,569.91
  5. Step 5: Solve for x
    x = 268,569.91/507.40
  6. Step 6: Final answer
    x = 529.31

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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.