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Finding the Fourth Proportional to 524.55, 724.05 and 469.19

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Solution

The fourth proportional to 524.55, 724.05 and 469.19 is: 647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.55 : 724.05 = 469.19 : x
  2. Step 2: Convert to fraction form
    524.55/724.05 = 469.19/x
  3. Step 3: Cross multiply
    524.55x = 724.05 × 469.19
  4. Step 4: Simplify right side
    524.55x = 339,717.02
  5. Step 5: Solve for x
    x = 339,717.02/524.55
  6. Step 6: Final answer
    x = 647.64

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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.