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Finding the Fourth Proportional to 524.47, 723.92 and 347.46

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Solution

The fourth proportional to 524.47, 723.92 and 347.46 is: 479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.47 : 723.92 = 347.46 : x
  2. Step 2: Convert to fraction form
    524.47/723.92 = 347.46/x
  3. Step 3: Cross multiply
    524.47x = 723.92 × 347.46
  4. Step 4: Simplify right side
    524.47x = 251,533.24
  5. Step 5: Solve for x
    x = 251,533.24/524.47
  6. Step 6: Final answer
    x = 479.60

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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.