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Finding the Fourth Proportional to 386.53, 532.94 and 307.60

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Solution

The fourth proportional to 386.53, 532.94 and 307.60 is: 424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.53 : 532.94 = 307.60 : x
  2. Step 2: Convert to fraction form
    386.53/532.94 = 307.60/x
  3. Step 3: Cross multiply
    386.53x = 532.94 × 307.60
  4. Step 4: Simplify right side
    386.53x = 163,932.34
  5. Step 5: Solve for x
    x = 163,932.34/386.53
  6. Step 6: Final answer
    x = 424.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.