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Finding the Fourth Proportional to 483.52, 724.88 and 264

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Solution

The fourth proportional to 483.52, 724.88 and 264 is: 395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.52 : 724.88 = 264 : x
  2. Step 2: Convert to fraction form
    483.52/724.88 = 264/x
  3. Step 3: Cross multiply
    483.52x = 724.88 × 264
  4. Step 4: Simplify right side
    483.52x = 191,368.32
  5. Step 5: Solve for x
    x = 191,368.32/483.52
  6. Step 6: Final answer
    x = 395.78

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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.