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Finding the Fourth Proportional to 562.54, 776.31 and 313.82

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Solution

The fourth proportional to 562.54, 776.31 and 313.82 is: 433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.54 : 776.31 = 313.82 : x
  2. Step 2: Convert to fraction form
    562.54/776.31 = 313.82/x
  3. Step 3: Cross multiply
    562.54x = 776.31 × 313.82
  4. Step 4: Simplify right side
    562.54x = 243,621.60
  5. Step 5: Solve for x
    x = 243,621.60/562.54
  6. Step 6: Final answer
    x = 433.07

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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.