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Finding the Fourth Proportional to 918.36, 1,378.08 and 431.76

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Solution

The fourth proportional to 918.36, 1,378.08 and 431.76 is: 647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.36 : 1,378.08 = 431.76 : x
  2. Step 2: Convert to fraction form
    918.36/1,378.08 = 431.76/x
  3. Step 3: Cross multiply
    918.36x = 1,378.08 × 431.76
  4. Step 4: Simplify right side
    918.36x = 594,999.82
  5. Step 5: Solve for x
    x = 594,999.82/918.36
  6. Step 6: Final answer
    x = 647.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.