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Finding the Fourth Proportional to 565.65, 846.42 and 467.24

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Solution

The fourth proportional to 565.65, 846.42 and 467.24 is: 699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.65 : 846.42 = 467.24 : x
  2. Step 2: Convert to fraction form
    565.65/846.42 = 467.24/x
  3. Step 3: Cross multiply
    565.65x = 846.42 × 467.24
  4. Step 4: Simplify right side
    565.65x = 395,474.71
  5. Step 5: Solve for x
    x = 395,474.71/565.65
  6. Step 6: Final answer
    x = 699.15

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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.