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Finding the Fourth Proportional to 616.84, 923.34 and 480.28

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Solution

The fourth proportional to 616.84, 923.34 and 480.28 is: 718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.84 : 923.34 = 480.28 : x
  2. Step 2: Convert to fraction form
    616.84/923.34 = 480.28/x
  3. Step 3: Cross multiply
    616.84x = 923.34 × 480.28
  4. Step 4: Simplify right side
    616.84x = 443,461.74
  5. Step 5: Solve for x
    x = 443,461.74/616.84
  6. Step 6: Final answer
    x = 718.93

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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.