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Finding the Fourth Proportional to 589.52, 881.26 and 466.40

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Solution

The fourth proportional to 589.52, 881.26 and 466.40 is: 697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.52 : 881.26 = 466.40 : x
  2. Step 2: Convert to fraction form
    589.52/881.26 = 466.40/x
  3. Step 3: Cross multiply
    589.52x = 881.26 × 466.40
  4. Step 4: Simplify right side
    589.52x = 411,019.66
  5. Step 5: Solve for x
    x = 411,019.66/589.52
  6. Step 6: Final answer
    x = 697.21

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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.