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Finding the Fourth Proportional to 586.89, 880.35 and 202.14

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Solution

The fourth proportional to 586.89, 880.35 and 202.14 is: 303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.89 : 880.35 = 202.14 : x
  2. Step 2: Convert to fraction form
    586.89/880.35 = 202.14/x
  3. Step 3: Cross multiply
    586.89x = 880.35 × 202.14
  4. Step 4: Simplify right side
    586.89x = 177,953.95
  5. Step 5: Solve for x
    x = 177,953.95/586.89
  6. Step 6: Final answer
    x = 303.22

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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.