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Finding the Fourth Proportional to 584.67, 877.33 and 260.03

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Solution

The fourth proportional to 584.67, 877.33 and 260.03 is: 390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.67 : 877.33 = 260.03 : x
  2. Step 2: Convert to fraction form
    584.67/877.33 = 260.03/x
  3. Step 3: Cross multiply
    584.67x = 877.33 × 260.03
  4. Step 4: Simplify right side
    584.67x = 228,134.64
  5. Step 5: Solve for x
    x = 228,134.64/584.67
  6. Step 6: Final answer
    x = 390.19

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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.