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Finding the Fourth Proportional to 562.69, 776.46 and 313.99

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Solution

The fourth proportional to 562.69, 776.46 and 313.99 is: 433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.69 : 776.46 = 313.99 : x
  2. Step 2: Convert to fraction form
    562.69/776.46 = 313.99/x
  3. Step 3: Cross multiply
    562.69x = 776.46 × 313.99
  4. Step 4: Simplify right side
    562.69x = 243,800.68
  5. Step 5: Solve for x
    x = 243,800.68/562.69
  6. Step 6: Final answer
    x = 433.28

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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.