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Finding the Fourth Proportional to 715.91, 987.80 and 417.08

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Solution

The fourth proportional to 715.91, 987.80 and 417.08 is: 575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.91 : 987.80 = 417.08 : x
  2. Step 2: Convert to fraction form
    715.91/987.80 = 417.08/x
  3. Step 3: Cross multiply
    715.91x = 987.80 × 417.08
  4. Step 4: Simplify right side
    715.91x = 411,992.01
  5. Step 5: Solve for x
    x = 411,992.01/715.91
  6. Step 6: Final answer
    x = 575.48

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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.