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Finding the Fourth Proportional to 432.06, 596.88 and 345.12

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Solution

The fourth proportional to 432.06, 596.88 and 345.12 is: 476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.06 : 596.88 = 345.12 : x
  2. Step 2: Convert to fraction form
    432.06/596.88 = 345.12/x
  3. Step 3: Cross multiply
    432.06x = 596.88 × 345.12
  4. Step 4: Simplify right side
    432.06x = 205,995.23
  5. Step 5: Solve for x
    x = 205,995.23/432.06
  6. Step 6: Final answer
    x = 476.77

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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.