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Finding the Fourth Proportional to 561.77, 775.30 and 313.14

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Solution

The fourth proportional to 561.77, 775.30 and 313.14 is: 432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.77 : 775.30 = 313.14 : x
  2. Step 2: Convert to fraction form
    561.77/775.30 = 313.14/x
  3. Step 3: Cross multiply
    561.77x = 775.30 × 313.14
  4. Step 4: Simplify right side
    561.77x = 242,776.66
  5. Step 5: Solve for x
    x = 242,776.66/561.77
  6. Step 6: Final answer
    x = 432.16

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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.