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Finding the Fourth Proportional to 562.30, 775.97 and 313.63

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Solution

The fourth proportional to 562.30, 775.97 and 313.63 is: 432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.30 : 775.97 = 313.63 : x
  2. Step 2: Convert to fraction form
    562.30/775.97 = 313.63/x
  3. Step 3: Cross multiply
    562.30x = 775.97 × 313.63
  4. Step 4: Simplify right side
    562.30x = 243,368.35
  5. Step 5: Solve for x
    x = 243,368.35/562.30
  6. Step 6: Final answer
    x = 432.81

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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.