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Finding the Fourth Proportional to 384.33, 575.88 and 292.74

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Solution

The fourth proportional to 384.33, 575.88 and 292.74 is: 438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.33 : 575.88 = 292.74 : x
  2. Step 2: Convert to fraction form
    384.33/575.88 = 292.74/x
  3. Step 3: Cross multiply
    384.33x = 575.88 × 292.74
  4. Step 4: Simplify right side
    384.33x = 168,583.11
  5. Step 5: Solve for x
    x = 168,583.11/384.33
  6. Step 6: Final answer
    x = 438.64

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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.