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Finding the Fourth Proportional to 493.53, 681.08 and 383.16

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Solution

The fourth proportional to 493.53, 681.08 and 383.16 is: 528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.53 : 681.08 = 383.16 : x
  2. Step 2: Convert to fraction form
    493.53/681.08 = 383.16/x
  3. Step 3: Cross multiply
    493.53x = 681.08 × 383.16
  4. Step 4: Simplify right side
    493.53x = 260,962.61
  5. Step 5: Solve for x
    x = 260,962.61/493.53
  6. Step 6: Final answer
    x = 528.77

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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.