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Finding the Fourth Proportional to 598.88, 903.92 and 598.88

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Solution

The fourth proportional to 598.88, 903.92 and 598.88 is: 903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.88 : 903.92 = 598.88 : x
  2. Step 2: Convert to fraction form
    598.88/903.92 = 598.88/x
  3. Step 3: Cross multiply
    598.88x = 903.92 × 598.88
  4. Step 4: Simplify right side
    598.88x = 541,339.61
  5. Step 5: Solve for x
    x = 541,339.61/598.88
  6. Step 6: Final answer
    x = 903.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.