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Finding the Fourth Proportional to 507.48, 761.45 and 215.06

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Solution

The fourth proportional to 507.48, 761.45 and 215.06 is: 322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.48 : 761.45 = 215.06 : x
  2. Step 2: Convert to fraction form
    507.48/761.45 = 215.06/x
  3. Step 3: Cross multiply
    507.48x = 761.45 × 215.06
  4. Step 4: Simplify right side
    507.48x = 163,757.44
  5. Step 5: Solve for x
    x = 163,757.44/507.48
  6. Step 6: Final answer
    x = 322.69

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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.