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Finding the Fourth Proportional to 594.52, 891.66 and 498.04

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Solution

The fourth proportional to 594.52, 891.66 and 498.04 is: 746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.52 : 891.66 = 498.04 : x
  2. Step 2: Convert to fraction form
    594.52/891.66 = 498.04/x
  3. Step 3: Cross multiply
    594.52x = 891.66 × 498.04
  4. Step 4: Simplify right side
    594.52x = 444,082.35
  5. Step 5: Solve for x
    x = 444,082.35/594.52
  6. Step 6: Final answer
    x = 746.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.