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Finding the Fourth Proportional to 357.83, 534.31 and 306.39

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Solution

The fourth proportional to 357.83, 534.31 and 306.39 is: 457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.83 : 534.31 = 306.39 : x
  2. Step 2: Convert to fraction form
    357.83/534.31 = 306.39/x
  3. Step 3: Cross multiply
    357.83x = 534.31 × 306.39
  4. Step 4: Simplify right side
    357.83x = 163,707.24
  5. Step 5: Solve for x
    x = 163,707.24/357.83
  6. Step 6: Final answer
    x = 457.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.