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Finding the Fourth Proportional to 561.24, 774.54 and 423

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Solution

The fourth proportional to 561.24, 774.54 and 423 is: 583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.24 : 774.54 = 423 : x
  2. Step 2: Convert to fraction form
    561.24/774.54 = 423/x
  3. Step 3: Cross multiply
    561.24x = 774.54 × 423
  4. Step 4: Simplify right side
    561.24x = 327,630.42
  5. Step 5: Solve for x
    x = 327,630.42/561.24
  6. Step 6: Final answer
    x = 583.76

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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.