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Finding the Fourth Proportional to 357.64, 536.07 and 306.13

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Solution

The fourth proportional to 357.64, 536.07 and 306.13 is: 458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.64 : 536.07 = 306.13 : x
  2. Step 2: Convert to fraction form
    357.64/536.07 = 306.13/x
  3. Step 3: Cross multiply
    357.64x = 536.07 × 306.13
  4. Step 4: Simplify right side
    357.64x = 164,107.11
  5. Step 5: Solve for x
    x = 164,107.11/357.64
  6. Step 6: Final answer
    x = 458.86

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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.