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Finding the Fourth Proportional to 523.68, 721.76 and 463.34

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Solution

The fourth proportional to 523.68, 721.76 and 463.34 is: 638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 721.76 = 463.34 : x
  2. Step 2: Convert to fraction form
    523.68/721.76 = 463.34/x
  3. Step 3: Cross multiply
    523.68x = 721.76 × 463.34
  4. Step 4: Simplify right side
    523.68x = 334,420.28
  5. Step 5: Solve for x
    x = 334,420.28/523.68
  6. Step 6: Final answer
    x = 638.60

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1.5x scale

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.