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Finding the Fourth Proportional to 432.04, 647.58 and 287.56

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Solution

The fourth proportional to 432.04, 647.58 and 287.56 is: 431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.04 : 647.58 = 287.56 : x
  2. Step 2: Convert to fraction form
    432.04/647.58 = 287.56/x
  3. Step 3: Cross multiply
    432.04x = 647.58 × 287.56
  4. Step 4: Simplify right side
    432.04x = 186,218.10
  5. Step 5: Solve for x
    x = 186,218.10/432.04
  6. Step 6: Final answer
    x = 431.02

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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.