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Finding the Fourth Proportional to 715.05, 986.75 and 404.55

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Solution

The fourth proportional to 715.05, 986.75 and 404.55 is: 558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.05 : 986.75 = 404.55 : x
  2. Step 2: Convert to fraction form
    715.05/986.75 = 404.55/x
  3. Step 3: Cross multiply
    715.05x = 986.75 × 404.55
  4. Step 4: Simplify right side
    715.05x = 399,189.71
  5. Step 5: Solve for x
    x = 399,189.71/715.05
  6. Step 6: Final answer
    x = 558.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.