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Finding the Fourth Proportional to 601.52, 830.10 and 380.24

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Solution

The fourth proportional to 601.52, 830.10 and 380.24 is: 524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.52 : 830.10 = 380.24 : x
  2. Step 2: Convert to fraction form
    601.52/830.10 = 380.24/x
  3. Step 3: Cross multiply
    601.52x = 830.10 × 380.24
  4. Step 4: Simplify right side
    601.52x = 315,637.22
  5. Step 5: Solve for x
    x = 315,637.22/601.52
  6. Step 6: Final answer
    x = 524.73

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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.