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Finding the Fourth Proportional to 382.41, 572.93 and 355.76

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Solution

The fourth proportional to 382.41, 572.93 and 355.76 is: 533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.41 : 572.93 = 355.76 : x
  2. Step 2: Convert to fraction form
    382.41/572.93 = 355.76/x
  3. Step 3: Cross multiply
    382.41x = 572.93 × 355.76
  4. Step 4: Simplify right side
    382.41x = 203,823.60
  5. Step 5: Solve for x
    x = 203,823.60/382.41
  6. Step 6: Final answer
    x = 533.00

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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.