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Finding the Fourth Proportional to 432.02, 647.49 and 405.02

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Solution

The fourth proportional to 432.02, 647.49 and 405.02 is: 607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.02 : 647.49 = 405.02 : x
  2. Step 2: Convert to fraction form
    432.02/647.49 = 405.02/x
  3. Step 3: Cross multiply
    432.02x = 647.49 × 405.02
  4. Step 4: Simplify right side
    432.02x = 262,246.40
  5. Step 5: Solve for x
    x = 262,246.40/432.02
  6. Step 6: Final answer
    x = 607.02

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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.