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Finding the Fourth Proportional to 501.92, 752.64 and 258.56

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Solution

The fourth proportional to 501.92, 752.64 and 258.56 is: 387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.92 : 752.64 = 258.56 : x
  2. Step 2: Convert to fraction form
    501.92/752.64 = 258.56/x
  3. Step 3: Cross multiply
    501.92x = 752.64 × 258.56
  4. Step 4: Simplify right side
    501.92x = 194,602.60
  5. Step 5: Solve for x
    x = 194,602.60/501.92
  6. Step 6: Final answer
    x = 387.72

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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.