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Finding the Fourth Proportional to 524.66, 724.02 and 291.77

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Solution

The fourth proportional to 524.66, 724.02 and 291.77 is: 402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.66 : 724.02 = 291.77 : x
  2. Step 2: Convert to fraction form
    524.66/724.02 = 291.77/x
  3. Step 3: Cross multiply
    524.66x = 724.02 × 291.77
  4. Step 4: Simplify right side
    524.66x = 211,247.32
  5. Step 5: Solve for x
    x = 211,247.32/524.66
  6. Step 6: Final answer
    x = 402.64

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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.