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Finding the Fourth Proportional to 432.61, 596.82 and 257.92

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Solution

The fourth proportional to 432.61, 596.82 and 257.92 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.61 : 596.82 = 257.92 : x
  2. Step 2: Convert to fraction form
    432.61/596.82 = 257.92/x
  3. Step 3: Cross multiply
    432.61x = 596.82 × 257.92
  4. Step 4: Simplify right side
    432.61x = 153,931.81
  5. Step 5: Solve for x
    x = 153,931.81/432.61
  6. Step 6: Final answer
    x = 355.82

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