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Finding the Fourth Proportional to 562.50, 776.14 and 313.81

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Solution

The fourth proportional to 562.50, 776.14 and 313.81 is: 433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.50 : 776.14 = 313.81 : x
  2. Step 2: Convert to fraction form
    562.50/776.14 = 313.81/x
  3. Step 3: Cross multiply
    562.50x = 776.14 × 313.81
  4. Step 4: Simplify right side
    562.50x = 243,560.49
  5. Step 5: Solve for x
    x = 243,560.49/562.50
  6. Step 6: Final answer
    x = 433.00

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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.