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Finding the Fourth Proportional to 584.96, 877.83 and 390.18

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Solution

The fourth proportional to 584.96, 877.83 and 390.18 is: 585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.96 : 877.83 = 390.18 : x
  2. Step 2: Convert to fraction form
    584.96/877.83 = 390.18/x
  3. Step 3: Cross multiply
    584.96x = 877.83 × 390.18
  4. Step 4: Simplify right side
    584.96x = 342,511.71
  5. Step 5: Solve for x
    x = 342,511.71/584.96
  6. Step 6: Final answer
    x = 585.53

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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.