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Finding the Fourth Proportional to 715.86, 987.90 and 405.36

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Solution

The fourth proportional to 715.86, 987.90 and 405.36 is: 559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.86 : 987.90 = 405.36 : x
  2. Step 2: Convert to fraction form
    715.86/987.90 = 405.36/x
  3. Step 3: Cross multiply
    715.86x = 987.90 × 405.36
  4. Step 4: Simplify right side
    715.86x = 400,455.14
  5. Step 5: Solve for x
    x = 400,455.14/715.86
  6. Step 6: Final answer
    x = 559.40

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