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Finding the Fourth Proportional to 524.02, 723.19 and 337.95

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Solution

The fourth proportional to 524.02, 723.19 and 337.95 is: 466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.02 : 723.19 = 337.95 : x
  2. Step 2: Convert to fraction form
    524.02/723.19 = 337.95/x
  3. Step 3: Cross multiply
    524.02x = 723.19 × 337.95
  4. Step 4: Simplify right side
    524.02x = 244,402.06
  5. Step 5: Solve for x
    x = 244,402.06/524.02
  6. Step 6: Final answer
    x = 466.40

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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.