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Finding the Fourth Proportional to 565.90, 844.35 and 496.64

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Solution

The fourth proportional to 565.90, 844.35 and 496.64 is: 741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.90 : 844.35 = 496.64 : x
  2. Step 2: Convert to fraction form
    565.90/844.35 = 496.64/x
  3. Step 3: Cross multiply
    565.90x = 844.35 × 496.64
  4. Step 4: Simplify right side
    565.90x = 419,338.23
  5. Step 5: Solve for x
    x = 419,338.23/565.90
  6. Step 6: Final answer
    x = 741.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.