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Finding the Fourth Proportional to 597.12, 897.96 and 424.32

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Solution

The fourth proportional to 597.12, 897.96 and 424.32 is: 638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.12 : 897.96 = 424.32 : x
  2. Step 2: Convert to fraction form
    597.12/897.96 = 424.32/x
  3. Step 3: Cross multiply
    597.12x = 897.96 × 424.32
  4. Step 4: Simplify right side
    597.12x = 381,022.39
  5. Step 5: Solve for x
    x = 381,022.39/597.12
  6. Step 6: Final answer
    x = 638.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.