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Finding the Fourth Proportional to 575.46, 862.96 and 210.14

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Solution

The fourth proportional to 575.46, 862.96 and 210.14 is: 315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.46 : 862.96 = 210.14 : x
  2. Step 2: Convert to fraction form
    575.46/862.96 = 210.14/x
  3. Step 3: Cross multiply
    575.46x = 862.96 × 210.14
  4. Step 4: Simplify right side
    575.46x = 181,342.41
  5. Step 5: Solve for x
    x = 181,342.41/575.46
  6. Step 6: Final answer
    x = 315.13

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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.