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Finding the Fourth Proportional to 567.86, 848.83 and 494.18

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Solution

The fourth proportional to 567.86, 848.83 and 494.18 is: 738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.86 : 848.83 = 494.18 : x
  2. Step 2: Convert to fraction form
    567.86/848.83 = 494.18/x
  3. Step 3: Cross multiply
    567.86x = 848.83 × 494.18
  4. Step 4: Simplify right side
    567.86x = 419,472.34
  5. Step 5: Solve for x
    x = 419,472.34/567.86
  6. Step 6: Final answer
    x = 738.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.