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Finding the Fourth Proportional to 585.28, 876.64 and 368.48

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Solution

The fourth proportional to 585.28, 876.64 and 368.48 is: 551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.28 : 876.64 = 368.48 : x
  2. Step 2: Convert to fraction form
    585.28/876.64 = 368.48/x
  3. Step 3: Cross multiply
    585.28x = 876.64 × 368.48
  4. Step 4: Simplify right side
    585.28x = 323,024.31
  5. Step 5: Solve for x
    x = 323,024.31/585.28
  6. Step 6: Final answer
    x = 551.91

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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.