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Finding the Fourth Proportional to 589.78, 813.54 and 457.12

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Solution

The fourth proportional to 589.78, 813.54 and 457.12 is: 630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 813.54 = 457.12 : x
  2. Step 2: Convert to fraction form
    589.78/813.54 = 457.12/x
  3. Step 3: Cross multiply
    589.78x = 813.54 × 457.12
  4. Step 4: Simplify right side
    589.78x = 371,885.40
  5. Step 5: Solve for x
    x = 371,885.40/589.78
  6. Step 6: Final answer
    x = 630.55

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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.