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Finding the Fourth Proportional to 616.40, 924.36 and 205.28

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Solution

The fourth proportional to 616.40, 924.36 and 205.28 is: 307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.40 : 924.36 = 205.28 : x
  2. Step 2: Convert to fraction form
    616.40/924.36 = 205.28/x
  3. Step 3: Cross multiply
    616.40x = 924.36 × 205.28
  4. Step 4: Simplify right side
    616.40x = 189,752.62
  5. Step 5: Solve for x
    x = 189,752.62/616.40
  6. Step 6: Final answer
    x = 307.84

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Double scale
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Why These Related Problems?

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