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Finding the Fourth Proportional to 562.64, 776.40 and 313.97

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Solution

The fourth proportional to 562.64, 776.40 and 313.97 is: 433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.64 : 776.40 = 313.97 : x
  2. Step 2: Convert to fraction form
    562.64/776.40 = 313.97/x
  3. Step 3: Cross multiply
    562.64x = 776.40 × 313.97
  4. Step 4: Simplify right side
    562.64x = 243,762.43
  5. Step 5: Solve for x
    x = 243,762.43/562.64
  6. Step 6: Final answer
    x = 433.25

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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.