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Finding the Fourth Proportional to 561.12, 774.36 and 456.54

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Solution

The fourth proportional to 561.12, 774.36 and 456.54 is: 630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 774.36 = 456.54 : x
  2. Step 2: Convert to fraction form
    561.12/774.36 = 456.54/x
  3. Step 3: Cross multiply
    561.12x = 774.36 × 456.54
  4. Step 4: Simplify right side
    561.12x = 353,526.31
  5. Step 5: Solve for x
    x = 353,526.31/561.12
  6. Step 6: Final answer
    x = 630.04

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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.