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Finding the Fourth Proportional to 616.14, 923.76 and 355.77

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Solution

The fourth proportional to 616.14, 923.76 and 355.77 is: 533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.14 : 923.76 = 355.77 : x
  2. Step 2: Convert to fraction form
    616.14/923.76 = 355.77/x
  3. Step 3: Cross multiply
    616.14x = 923.76 × 355.77
  4. Step 4: Simplify right side
    616.14x = 328,646.10
  5. Step 5: Solve for x
    x = 328,646.10/616.14
  6. Step 6: Final answer
    x = 533.40

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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.