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Finding the Fourth Proportional to 562.63, 776.38 and 313.91

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Solution

The fourth proportional to 562.63, 776.38 and 313.91 is: 433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.63 : 776.38 = 313.91 : x
  2. Step 2: Convert to fraction form
    562.63/776.38 = 313.91/x
  3. Step 3: Cross multiply
    562.63x = 776.38 × 313.91
  4. Step 4: Simplify right side
    562.63x = 243,713.45
  5. Step 5: Solve for x
    x = 243,713.45/562.63
  6. Step 6: Final answer
    x = 433.17

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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.