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Finding the Fourth Proportional to 524.66, 724.04 and 314.96

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Solution

The fourth proportional to 524.66, 724.04 and 314.96 is: 434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.66 : 724.04 = 314.96 : x
  2. Step 2: Convert to fraction form
    524.66/724.04 = 314.96/x
  3. Step 3: Cross multiply
    524.66x = 724.04 × 314.96
  4. Step 4: Simplify right side
    524.66x = 228,038.44
  5. Step 5: Solve for x
    x = 228,038.44/524.66
  6. Step 6: Final answer
    x = 434.64

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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.