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Finding the Fourth Proportional to 616.23, 923.64 and 307.77

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Solution

The fourth proportional to 616.23, 923.64 and 307.77 is: 461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.23 : 923.64 = 307.77 : x
  2. Step 2: Convert to fraction form
    616.23/923.64 = 307.77/x
  3. Step 3: Cross multiply
    616.23x = 923.64 × 307.77
  4. Step 4: Simplify right side
    616.23x = 284,268.68
  5. Step 5: Solve for x
    x = 284,268.68/616.23
  6. Step 6: Final answer
    x = 461.30

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1.5x scale

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.