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Finding the Fourth Proportional to 584.53, 877.35 and 260.17

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Solution

The fourth proportional to 584.53, 877.35 and 260.17 is: 390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.53 : 877.35 = 260.17 : x
  2. Step 2: Convert to fraction form
    584.53/877.35 = 260.17/x
  3. Step 3: Cross multiply
    584.53x = 877.35 × 260.17
  4. Step 4: Simplify right side
    584.53x = 228,260.15
  5. Step 5: Solve for x
    x = 228,260.15/584.53
  6. Step 6: Final answer
    x = 390.50

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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.