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Finding the Fourth Proportional to 349.93, 524.47 and 306.50

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Solution

The fourth proportional to 349.93, 524.47 and 306.50 is: 459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.93 : 524.47 = 306.50 : x
  2. Step 2: Convert to fraction form
    349.93/524.47 = 306.50/x
  3. Step 3: Cross multiply
    349.93x = 524.47 × 306.50
  4. Step 4: Simplify right side
    349.93x = 160,750.06
  5. Step 5: Solve for x
    x = 160,750.06/349.93
  6. Step 6: Final answer
    x = 459.38

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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.