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Finding the Fourth Proportional to 923.12, 1,384.98 and 375.02

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Solution

The fourth proportional to 923.12, 1,384.98 and 375.02 is: 562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.12 : 1,384.98 = 375.02 : x
  2. Step 2: Convert to fraction form
    923.12/1,384.98 = 375.02/x
  3. Step 3: Cross multiply
    923.12x = 1,384.98 × 375.02
  4. Step 4: Simplify right side
    923.12x = 519,395.20
  5. Step 5: Solve for x
    x = 519,395.20/923.12
  6. Step 6: Final answer
    x = 562.65

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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.