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Finding the Fourth Proportional to 563.87, 776.78 and 458.66

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Solution

The fourth proportional to 563.87, 776.78 and 458.66 is: 631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.87 : 776.78 = 458.66 : x
  2. Step 2: Convert to fraction form
    563.87/776.78 = 458.66/x
  3. Step 3: Cross multiply
    563.87x = 776.78 × 458.66
  4. Step 4: Simplify right side
    563.87x = 356,271.74
  5. Step 5: Solve for x
    x = 356,271.74/563.87
  6. Step 6: Final answer
    x = 631.84

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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.