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Finding the Fourth Proportional to 587.30, 881.63 and 466.10

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Solution

The fourth proportional to 587.30, 881.63 and 466.10 is: 699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.30 : 881.63 = 466.10 : x
  2. Step 2: Convert to fraction form
    587.30/881.63 = 466.10/x
  3. Step 3: Cross multiply
    587.30x = 881.63 × 466.10
  4. Step 4: Simplify right side
    587.30x = 410,933.64
  5. Step 5: Solve for x
    x = 410,933.64/587.30
  6. Step 6: Final answer
    x = 699.70

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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.