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Finding the Fourth Proportional to 562.53, 776.34 and 313.82

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Solution

The fourth proportional to 562.53, 776.34 and 313.82 is: 433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.53 : 776.34 = 313.82 : x
  2. Step 2: Convert to fraction form
    562.53/776.34 = 313.82/x
  3. Step 3: Cross multiply
    562.53x = 776.34 × 313.82
  4. Step 4: Simplify right side
    562.53x = 243,631.80
  5. Step 5: Solve for x
    x = 243,631.80/562.53
  6. Step 6: Final answer
    x = 433.10

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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.