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Finding the Fourth Proportional to 585.30, 877.20 and 276.48

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Solution

The fourth proportional to 585.30, 877.20 and 276.48 is: 414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.30 : 877.20 = 276.48 : x
  2. Step 2: Convert to fraction form
    585.30/877.20 = 276.48/x
  3. Step 3: Cross multiply
    585.30x = 877.20 × 276.48
  4. Step 4: Simplify right side
    585.30x = 242,528.26
  5. Step 5: Solve for x
    x = 242,528.26/585.30
  6. Step 6: Final answer
    x = 414.37

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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.