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Finding the Fourth Proportional to 562.69, 776.49 and 314.01

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Solution

The fourth proportional to 562.69, 776.49 and 314.01 is: 433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.69 : 776.49 = 314.01 : x
  2. Step 2: Convert to fraction form
    562.69/776.49 = 314.01/x
  3. Step 3: Cross multiply
    562.69x = 776.49 × 314.01
  4. Step 4: Simplify right side
    562.69x = 243,824.05
  5. Step 5: Solve for x
    x = 243,824.05/562.69
  6. Step 6: Final answer
    x = 433.32

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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.