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Finding the Fourth Proportional to 625.46, 942.82 and 590.10

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Solution

The fourth proportional to 625.46, 942.82 and 590.10 is: 889.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.46 : 942.82 = 590.10 : x
  2. Step 2: Convert to fraction form
    625.46/942.82 = 590.10/x
  3. Step 3: Cross multiply
    625.46x = 942.82 × 590.10
  4. Step 4: Simplify right side
    625.46x = 556,358.08
  5. Step 5: Solve for x
    x = 556,358.08/625.46
  6. Step 6: Final answer
    x = 889.52

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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.