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Finding the Fourth Proportional to 584.48, 877.08 and 259.94

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Solution

The fourth proportional to 584.48, 877.08 and 259.94 is: 390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.48 : 877.08 = 259.94 : x
  2. Step 2: Convert to fraction form
    584.48/877.08 = 259.94/x
  3. Step 3: Cross multiply
    584.48x = 877.08 × 259.94
  4. Step 4: Simplify right side
    584.48x = 227,988.18
  5. Step 5: Solve for x
    x = 227,988.18/584.48
  6. Step 6: Final answer
    x = 390.07

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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.