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Finding the Fourth Proportional to 608.60, 913.34 and 283.95

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Solution

The fourth proportional to 608.60, 913.34 and 283.95 is: 426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.60 : 913.34 = 283.95 : x
  2. Step 2: Convert to fraction form
    608.60/913.34 = 283.95/x
  3. Step 3: Cross multiply
    608.60x = 913.34 × 283.95
  4. Step 4: Simplify right side
    608.60x = 259,341.47
  5. Step 5: Solve for x
    x = 259,341.47/608.60
  6. Step 6: Final answer
    x = 426.13

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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.