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Finding the Fourth Proportional to 561.73, 775.20 and 313.08

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Solution

The fourth proportional to 561.73, 775.20 and 313.08 is: 432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.73 : 775.20 = 313.08 : x
  2. Step 2: Convert to fraction form
    561.73/775.20 = 313.08/x
  3. Step 3: Cross multiply
    561.73x = 775.20 × 313.08
  4. Step 4: Simplify right side
    561.73x = 242,695.74
  5. Step 5: Solve for x
    x = 242,695.74/561.73
  6. Step 6: Final answer
    x = 432.05

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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.