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Finding the Fourth Proportional to 594.18, 893.12 and 432.59

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Solution

The fourth proportional to 594.18, 893.12 and 432.59 is: 650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.18 : 893.12 = 432.59 : x
  2. Step 2: Convert to fraction form
    594.18/893.12 = 432.59/x
  3. Step 3: Cross multiply
    594.18x = 893.12 × 432.59
  4. Step 4: Simplify right side
    594.18x = 386,348.15
  5. Step 5: Solve for x
    x = 386,348.15/594.18
  6. Step 6: Final answer
    x = 650.22

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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.