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Finding the Fourth Proportional to 524.20, 723.98 and 407.58

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Solution

The fourth proportional to 524.20, 723.98 and 407.58 is: 562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.20 : 723.98 = 407.58 : x
  2. Step 2: Convert to fraction form
    524.20/723.98 = 407.58/x
  3. Step 3: Cross multiply
    524.20x = 723.98 × 407.58
  4. Step 4: Simplify right side
    524.20x = 295,079.77
  5. Step 5: Solve for x
    x = 295,079.77/524.20
  6. Step 6: Final answer
    x = 562.91

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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.