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Finding the Fourth Proportional to 586.97, 881.54 and 466.01

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Solution

The fourth proportional to 586.97, 881.54 and 466.01 is: 699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.97 : 881.54 = 466.01 : x
  2. Step 2: Convert to fraction form
    586.97/881.54 = 466.01/x
  3. Step 3: Cross multiply
    586.97x = 881.54 × 466.01
  4. Step 4: Simplify right side
    586.97x = 410,804.13
  5. Step 5: Solve for x
    x = 410,804.13/586.97
  6. Step 6: Final answer
    x = 699.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.