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Finding the Fourth Proportional to 586.75, 880.12 and 355.70

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Solution

The fourth proportional to 586.75, 880.12 and 355.70 is: 533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.75 : 880.12 = 355.70 : x
  2. Step 2: Convert to fraction form
    586.75/880.12 = 355.70/x
  3. Step 3: Cross multiply
    586.75x = 880.12 × 355.70
  4. Step 4: Simplify right side
    586.75x = 313,058.63
  5. Step 5: Solve for x
    x = 313,058.63/586.75
  6. Step 6: Final answer
    x = 533.55

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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.