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Finding the Fourth Proportional to 582.08, 869.30 and 466.70

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Solution

The fourth proportional to 582.08, 869.30 and 466.70 is: 696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.08 : 869.30 = 466.70 : x
  2. Step 2: Convert to fraction form
    582.08/869.30 = 466.70/x
  3. Step 3: Cross multiply
    582.08x = 869.30 × 466.70
  4. Step 4: Simplify right side
    582.08x = 405,702.31
  5. Step 5: Solve for x
    x = 405,702.31/582.08
  6. Step 6: Final answer
    x = 696.99

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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.