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Finding the Fourth Proportional to 924.32, 1,386.47 and 376.38

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Solution

The fourth proportional to 924.32, 1,386.47 and 376.38 is: 564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.32 : 1,386.47 = 376.38 : x
  2. Step 2: Convert to fraction form
    924.32/1,386.47 = 376.38/x
  3. Step 3: Cross multiply
    924.32x = 1,386.47 × 376.38
  4. Step 4: Simplify right side
    924.32x = 521,832.65
  5. Step 5: Solve for x
    x = 521,832.65/924.32
  6. Step 6: Final answer
    x = 564.56

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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.