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Finding the Fourth Proportional to 595.44, 891.84 and 432.75

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Solution

The fourth proportional to 595.44, 891.84 and 432.75 is: 648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.44 : 891.84 = 432.75 : x
  2. Step 2: Convert to fraction form
    595.44/891.84 = 432.75/x
  3. Step 3: Cross multiply
    595.44x = 891.84 × 432.75
  4. Step 4: Simplify right side
    595.44x = 385,943.76
  5. Step 5: Solve for x
    x = 385,943.76/595.44
  6. Step 6: Final answer
    x = 648.17

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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.