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Finding the Fourth Proportional to 388.80, 537.10 and 302.58

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Solution

The fourth proportional to 388.80, 537.10 and 302.58 is: 417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.80 : 537.10 = 302.58 : x
  2. Step 2: Convert to fraction form
    388.80/537.10 = 302.58/x
  3. Step 3: Cross multiply
    388.80x = 537.10 × 302.58
  4. Step 4: Simplify right side
    388.80x = 162,515.72
  5. Step 5: Solve for x
    x = 162,515.72/388.80
  6. Step 6: Final answer
    x = 417.99

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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.