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Finding the Fourth Proportional to 530.08, 731.30 and 308.98

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Solution

The fourth proportional to 530.08, 731.30 and 308.98 is: 426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.08 : 731.30 = 308.98 : x
  2. Step 2: Convert to fraction form
    530.08/731.30 = 308.98/x
  3. Step 3: Cross multiply
    530.08x = 731.30 × 308.98
  4. Step 4: Simplify right side
    530.08x = 225,957.07
  5. Step 5: Solve for x
    x = 225,957.07/530.08
  6. Step 6: Final answer
    x = 426.27

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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.