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Finding the Fourth Proportional to 584.02, 875.74 and 259.02

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Solution

The fourth proportional to 584.02, 875.74 and 259.02 is: 388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.02 : 875.74 = 259.02 : x
  2. Step 2: Convert to fraction form
    584.02/875.74 = 259.02/x
  3. Step 3: Cross multiply
    584.02x = 875.74 × 259.02
  4. Step 4: Simplify right side
    584.02x = 226,834.17
  5. Step 5: Solve for x
    x = 226,834.17/584.02
  6. Step 6: Final answer
    x = 388.40

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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.