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Finding the Fourth Proportional to 388.34, 583.10 and 301.83

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Solution

The fourth proportional to 388.34, 583.10 and 301.83 is: 453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.34 : 583.10 = 301.83 : x
  2. Step 2: Convert to fraction form
    388.34/583.10 = 301.83/x
  3. Step 3: Cross multiply
    388.34x = 583.10 × 301.83
  4. Step 4: Simplify right side
    388.34x = 175,994.51
  5. Step 5: Solve for x
    x = 175,994.51/388.34
  6. Step 6: Final answer
    x = 453.19

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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.