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Finding the Fourth Proportional to 923.36, 1,384.66 and 410

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Solution

The fourth proportional to 923.36, 1,384.66 and 410 is: 614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.36 : 1,384.66 = 410 : x
  2. Step 2: Convert to fraction form
    923.36/1,384.66 = 410/x
  3. Step 3: Cross multiply
    923.36x = 1,384.66 × 410
  4. Step 4: Simplify right side
    923.36x = 567,710.60
  5. Step 5: Solve for x
    x = 567,710.60/923.36
  6. Step 6: Final answer
    x = 614.83

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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.