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Finding the Fourth Proportional to 645.88, 891.02 and 383.88

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Solution

The fourth proportional to 645.88, 891.02 and 383.88 is: 529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.88 : 891.02 = 383.88 : x
  2. Step 2: Convert to fraction form
    645.88/891.02 = 383.88/x
  3. Step 3: Cross multiply
    645.88x = 891.02 × 383.88
  4. Step 4: Simplify right side
    645.88x = 342,044.76
  5. Step 5: Solve for x
    x = 342,044.76/645.88
  6. Step 6: Final answer
    x = 529.58

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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.