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Finding the Fourth Proportional to 589.53, 813.32 and 412.45

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Solution

The fourth proportional to 589.53, 813.32 and 412.45 is: 569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.53 : 813.32 = 412.45 : x
  2. Step 2: Convert to fraction form
    589.53/813.32 = 412.45/x
  3. Step 3: Cross multiply
    589.53x = 813.32 × 412.45
  4. Step 4: Simplify right side
    589.53x = 335,449.25
  5. Step 5: Solve for x
    x = 335,449.25/589.53
  6. Step 6: Final answer
    x = 569.01

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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.