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Finding the Fourth Proportional to 562.70, 776.48 and 314.01

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Solution

The fourth proportional to 562.70, 776.48 and 314.01 is: 433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.70 : 776.48 = 314.01 : x
  2. Step 2: Convert to fraction form
    562.70/776.48 = 314.01/x
  3. Step 3: Cross multiply
    562.70x = 776.48 × 314.01
  4. Step 4: Simplify right side
    562.70x = 243,820.91
  5. Step 5: Solve for x
    x = 243,820.91/562.70
  6. Step 6: Final answer
    x = 433.30

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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.