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Finding the Fourth Proportional to 575.65, 863.75 and 565.93

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Solution

The fourth proportional to 575.65, 863.75 and 565.93 is: 849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.65 : 863.75 = 565.93 : x
  2. Step 2: Convert to fraction form
    575.65/863.75 = 565.93/x
  3. Step 3: Cross multiply
    575.65x = 863.75 × 565.93
  4. Step 4: Simplify right side
    575.65x = 488,822.04
  5. Step 5: Solve for x
    x = 488,822.04/575.65
  6. Step 6: Final answer
    x = 849.17

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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.