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Finding the Fourth Proportional to 565.29, 848.10 and 218.65

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Solution

The fourth proportional to 565.29, 848.10 and 218.65 is: 328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.29 : 848.10 = 218.65 : x
  2. Step 2: Convert to fraction form
    565.29/848.10 = 218.65/x
  3. Step 3: Cross multiply
    565.29x = 848.10 × 218.65
  4. Step 4: Simplify right side
    565.29x = 185,437.07
  5. Step 5: Solve for x
    x = 185,437.07/565.29
  6. Step 6: Final answer
    x = 328.04

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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.