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Finding the Fourth Proportional to 524.06, 722.88 and 337.48

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Solution

The fourth proportional to 524.06, 722.88 and 337.48 is: 465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.06 : 722.88 = 337.48 : x
  2. Step 2: Convert to fraction form
    524.06/722.88 = 337.48/x
  3. Step 3: Cross multiply
    524.06x = 722.88 × 337.48
  4. Step 4: Simplify right side
    524.06x = 243,957.54
  5. Step 5: Solve for x
    x = 243,957.54/524.06
  6. Step 6: Final answer
    x = 465.51

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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.