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Finding the Fourth Proportional to 562.19, 775.82 and 313.57

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Solution

The fourth proportional to 562.19, 775.82 and 313.57 is: 432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.19 : 775.82 = 313.57 : x
  2. Step 2: Convert to fraction form
    562.19/775.82 = 313.57/x
  3. Step 3: Cross multiply
    562.19x = 775.82 × 313.57
  4. Step 4: Simplify right side
    562.19x = 243,272.72
  5. Step 5: Solve for x
    x = 243,272.72/562.19
  6. Step 6: Final answer
    x = 432.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.