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Finding the Fourth Proportional to 610.63, 842.71 and 362

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Solution

The fourth proportional to 610.63, 842.71 and 362 is: 499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.63 : 842.71 = 362 : x
  2. Step 2: Convert to fraction form
    610.63/842.71 = 362/x
  3. Step 3: Cross multiply
    610.63x = 842.71 × 362
  4. Step 4: Simplify right side
    610.63x = 305,061.02
  5. Step 5: Solve for x
    x = 305,061.02/610.63
  6. Step 6: Final answer
    x = 499.58

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