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Finding the Fourth Proportional to 384.26, 530.34 and 229.02

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Solution

The fourth proportional to 384.26, 530.34 and 229.02 is: 316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.26 : 530.34 = 229.02 : x
  2. Step 2: Convert to fraction form
    384.26/530.34 = 229.02/x
  3. Step 3: Cross multiply
    384.26x = 530.34 × 229.02
  4. Step 4: Simplify right side
    384.26x = 121,458.47
  5. Step 5: Solve for x
    x = 121,458.47/384.26
  6. Step 6: Final answer
    x = 316.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.