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Finding the Fourth Proportional to 365.07, 546.90 and 283.50

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Solution

The fourth proportional to 365.07, 546.90 and 283.50 is: 424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.07 : 546.90 = 283.50 : x
  2. Step 2: Convert to fraction form
    365.07/546.90 = 283.50/x
  3. Step 3: Cross multiply
    365.07x = 546.90 × 283.50
  4. Step 4: Simplify right side
    365.07x = 155,046.15
  5. Step 5: Solve for x
    x = 155,046.15/365.07
  6. Step 6: Final answer
    x = 424.70

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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.