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Finding the Fourth Proportional to 715.04, 986.58 and 416.30

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Solution

The fourth proportional to 715.04, 986.58 and 416.30 is: 574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.04 : 986.58 = 416.30 : x
  2. Step 2: Convert to fraction form
    715.04/986.58 = 416.30/x
  3. Step 3: Cross multiply
    715.04x = 986.58 × 416.30
  4. Step 4: Simplify right side
    715.04x = 410,713.25
  5. Step 5: Solve for x
    x = 410,713.25/715.04
  6. Step 6: Final answer
    x = 574.39

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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.