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Finding the Fourth Proportional to 584.16, 875.52 and 259.16

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Solution

The fourth proportional to 584.16, 875.52 and 259.16 is: 388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.16 : 875.52 = 259.16 : x
  2. Step 2: Convert to fraction form
    584.16/875.52 = 259.16/x
  3. Step 3: Cross multiply
    584.16x = 875.52 × 259.16
  4. Step 4: Simplify right side
    584.16x = 226,899.76
  5. Step 5: Solve for x
    x = 226,899.76/584.16
  6. Step 6: Final answer
    x = 388.42

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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.