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Finding the Fourth Proportional to 584.16, 800.42 and 575.52

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Solution

The fourth proportional to 584.16, 800.42 and 575.52 is: 788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.16 : 800.42 = 575.52 : x
  2. Step 2: Convert to fraction form
    584.16/800.42 = 575.52/x
  3. Step 3: Cross multiply
    584.16x = 800.42 × 575.52
  4. Step 4: Simplify right side
    584.16x = 460,657.72
  5. Step 5: Solve for x
    x = 460,657.72/584.16
  6. Step 6: Final answer
    x = 788.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.