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Finding the Fourth Proportional to 345.79, 515.54 and 306.83

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Solution

The fourth proportional to 345.79, 515.54 and 306.83 is: 457.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.79 : 515.54 = 306.83 : x
  2. Step 2: Convert to fraction form
    345.79/515.54 = 306.83/x
  3. Step 3: Cross multiply
    345.79x = 515.54 × 306.83
  4. Step 4: Simplify right side
    345.79x = 158,185.19
  5. Step 5: Solve for x
    x = 158,185.19/345.79
  6. Step 6: Final answer
    x = 457.46

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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.