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Finding the Fourth Proportional to 565.78, 848.67 and 291.70

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Solution

The fourth proportional to 565.78, 848.67 and 291.70 is: 437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 848.67 = 291.70 : x
  2. Step 2: Convert to fraction form
    565.78/848.67 = 291.70/x
  3. Step 3: Cross multiply
    565.78x = 848.67 × 291.70
  4. Step 4: Simplify right side
    565.78x = 247,557.04
  5. Step 5: Solve for x
    x = 247,557.04/565.78
  6. Step 6: Final answer
    x = 437.55

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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.