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Finding the Fourth Proportional to 523.72, 723.90 and 407.08

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Solution

The fourth proportional to 523.72, 723.90 and 407.08 is: 562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.72 : 723.90 = 407.08 : x
  2. Step 2: Convert to fraction form
    523.72/723.90 = 407.08/x
  3. Step 3: Cross multiply
    523.72x = 723.90 × 407.08
  4. Step 4: Simplify right side
    523.72x = 294,685.21
  5. Step 5: Solve for x
    x = 294,685.21/523.72
  6. Step 6: Final answer
    x = 562.68

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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.