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Finding the Fourth Proportional to 565.69, 844.81 and 482.53

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Solution

The fourth proportional to 565.69, 844.81 and 482.53 is: 720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.69 : 844.81 = 482.53 : x
  2. Step 2: Convert to fraction form
    565.69/844.81 = 482.53/x
  3. Step 3: Cross multiply
    565.69x = 844.81 × 482.53
  4. Step 4: Simplify right side
    565.69x = 407,646.17
  5. Step 5: Solve for x
    x = 407,646.17/565.69
  6. Step 6: Final answer
    x = 720.62

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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.