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Finding the Fourth Proportional to 562.18, 775.82 and 313.50

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Solution

The fourth proportional to 562.18, 775.82 and 313.50 is: 432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.18 : 775.82 = 313.50 : x
  2. Step 2: Convert to fraction form
    562.18/775.82 = 313.50/x
  3. Step 3: Cross multiply
    562.18x = 775.82 × 313.50
  4. Step 4: Simplify right side
    562.18x = 243,219.57
  5. Step 5: Solve for x
    x = 243,219.57/562.18
  6. Step 6: Final answer
    x = 432.64

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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.