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Finding the Fourth Proportional to 507.60, 761.28 and 233.52

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Solution

The fourth proportional to 507.60, 761.28 and 233.52 is: 350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 761.28 = 233.52 : x
  2. Step 2: Convert to fraction form
    507.60/761.28 = 233.52/x
  3. Step 3: Cross multiply
    507.60x = 761.28 × 233.52
  4. Step 4: Simplify right side
    507.60x = 177,774.11
  5. Step 5: Solve for x
    x = 177,774.11/507.60
  6. Step 6: Final answer
    x = 350.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.