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Finding the Fourth Proportional to 561.68, 775.14 and 313

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Solution

The fourth proportional to 561.68, 775.14 and 313 is: 431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.68 : 775.14 = 313 : x
  2. Step 2: Convert to fraction form
    561.68/775.14 = 313/x
  3. Step 3: Cross multiply
    561.68x = 775.14 × 313
  4. Step 4: Simplify right side
    561.68x = 242,618.82
  5. Step 5: Solve for x
    x = 242,618.82/561.68
  6. Step 6: Final answer
    x = 431.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.