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Finding the Fourth Proportional to 700.24, 966.08 and 416.60

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Solution

The fourth proportional to 700.24, 966.08 and 416.60 is: 574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.24 : 966.08 = 416.60 : x
  2. Step 2: Convert to fraction form
    700.24/966.08 = 416.60/x
  3. Step 3: Cross multiply
    700.24x = 966.08 × 416.60
  4. Step 4: Simplify right side
    700.24x = 402,468.93
  5. Step 5: Solve for x
    x = 402,468.93/700.24
  6. Step 6: Final answer
    x = 574.76

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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.