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Finding the Fourth Proportional to 566.24, 780.74 and 454.12

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Solution

The fourth proportional to 566.24, 780.74 and 454.12 is: 626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.24 : 780.74 = 454.12 : x
  2. Step 2: Convert to fraction form
    566.24/780.74 = 454.12/x
  3. Step 3: Cross multiply
    566.24x = 780.74 × 454.12
  4. Step 4: Simplify right side
    566.24x = 354,545.75
  5. Step 5: Solve for x
    x = 354,545.75/566.24
  6. Step 6: Final answer
    x = 626.15

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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.