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Finding the Fourth Proportional to 596.76, 893.02 and 432.42

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Solution

The fourth proportional to 596.76, 893.02 and 432.42 is: 647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.76 : 893.02 = 432.42 : x
  2. Step 2: Convert to fraction form
    596.76/893.02 = 432.42/x
  3. Step 3: Cross multiply
    596.76x = 893.02 × 432.42
  4. Step 4: Simplify right side
    596.76x = 386,159.71
  5. Step 5: Solve for x
    x = 386,159.71/596.76
  6. Step 6: Final answer
    x = 647.09

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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.