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Finding the Fourth Proportional to 432, 595.62 and 392.85

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Solution

The fourth proportional to 432, 595.62 and 392.85 is: 541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432 : 595.62 = 392.85 : x
  2. Step 2: Convert to fraction form
    432/595.62 = 392.85/x
  3. Step 3: Cross multiply
    432x = 595.62 × 392.85
  4. Step 4: Simplify right side
    432x = 233,989.32
  5. Step 5: Solve for x
    x = 233,989.32/432
  6. Step 6: Final answer
    x = 541.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.