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Finding the Fourth Proportional to 585.25, 877.50 and 277.18

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Solution

The fourth proportional to 585.25, 877.50 and 277.18 is: 415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.25 : 877.50 = 277.18 : x
  2. Step 2: Convert to fraction form
    585.25/877.50 = 277.18/x
  3. Step 3: Cross multiply
    585.25x = 877.50 × 277.18
  4. Step 4: Simplify right side
    585.25x = 243,225.45
  5. Step 5: Solve for x
    x = 243,225.45/585.25
  6. Step 6: Final answer
    x = 415.59

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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.