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Finding the Fourth Proportional to 561.93, 842.89 and 346.47

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Solution

The fourth proportional to 561.93, 842.89 and 346.47 is: 519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.93 : 842.89 = 346.47 : x
  2. Step 2: Convert to fraction form
    561.93/842.89 = 346.47/x
  3. Step 3: Cross multiply
    561.93x = 842.89 × 346.47
  4. Step 4: Simplify right side
    561.93x = 292,036.10
  5. Step 5: Solve for x
    x = 292,036.10/561.93
  6. Step 6: Final answer
    x = 519.70

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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.