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Finding the Fourth Proportional to 563.90, 777.75 and 424.06

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Solution

The fourth proportional to 563.90, 777.75 and 424.06 is: 584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.90 : 777.75 = 424.06 : x
  2. Step 2: Convert to fraction form
    563.90/777.75 = 424.06/x
  3. Step 3: Cross multiply
    563.90x = 777.75 × 424.06
  4. Step 4: Simplify right side
    563.90x = 329,812.67
  5. Step 5: Solve for x
    x = 329,812.67/563.90
  6. Step 6: Final answer
    x = 584.88

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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.