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Finding the Fourth Proportional to 544.48, 815.96 and 313.02

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Solution

The fourth proportional to 544.48, 815.96 and 313.02 is: 469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.48 : 815.96 = 313.02 : x
  2. Step 2: Convert to fraction form
    544.48/815.96 = 313.02/x
  3. Step 3: Cross multiply
    544.48x = 815.96 × 313.02
  4. Step 4: Simplify right side
    544.48x = 255,411.80
  5. Step 5: Solve for x
    x = 255,411.80/544.48
  6. Step 6: Final answer
    x = 469.09

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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.