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Finding the Fourth Proportional to 584.52, 875.70 and 295.26

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Solution

The fourth proportional to 584.52, 875.70 and 295.26 is: 442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.52 : 875.70 = 295.26 : x
  2. Step 2: Convert to fraction form
    584.52/875.70 = 295.26/x
  3. Step 3: Cross multiply
    584.52x = 875.70 × 295.26
  4. Step 4: Simplify right side
    584.52x = 258,559.18
  5. Step 5: Solve for x
    x = 258,559.18/584.52
  6. Step 6: Final answer
    x = 442.34

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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.