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Finding the Fourth Proportional to 585.48, 878.10 and 277.08

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Solution

The fourth proportional to 585.48, 878.10 and 277.08 is: 415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.48 : 878.10 = 277.08 : x
  2. Step 2: Convert to fraction form
    585.48/878.10 = 277.08/x
  3. Step 3: Cross multiply
    585.48x = 878.10 × 277.08
  4. Step 4: Simplify right side
    585.48x = 243,303.95
  5. Step 5: Solve for x
    x = 243,303.95/585.48
  6. Step 6: Final answer
    x = 415.56

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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.