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Finding the Fourth Proportional to 575.42, 862.64 and 262.95

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Solution

The fourth proportional to 575.42, 862.64 and 262.95 is: 394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.42 : 862.64 = 262.95 : x
  2. Step 2: Convert to fraction form
    575.42/862.64 = 262.95/x
  3. Step 3: Cross multiply
    575.42x = 862.64 × 262.95
  4. Step 4: Simplify right side
    575.42x = 226,831.19
  5. Step 5: Solve for x
    x = 226,831.19/575.42
  6. Step 6: Final answer
    x = 394.20

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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.