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Finding the Fourth Proportional to 524.16, 724.80 and 451.20

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Solution

The fourth proportional to 524.16, 724.80 and 451.20 is: 623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 724.80 = 451.20 : x
  2. Step 2: Convert to fraction form
    524.16/724.80 = 451.20/x
  3. Step 3: Cross multiply
    524.16x = 724.80 × 451.20
  4. Step 4: Simplify right side
    524.16x = 327,029.76
  5. Step 5: Solve for x
    x = 327,029.76/524.16
  6. Step 6: Final answer
    x = 623.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.