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Finding the Fourth Proportional to 491.02, 735.58 and 388.15

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Solution

The fourth proportional to 491.02, 735.58 and 388.15 is: 581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.02 : 735.58 = 388.15 : x
  2. Step 2: Convert to fraction form
    491.02/735.58 = 388.15/x
  3. Step 3: Cross multiply
    491.02x = 735.58 × 388.15
  4. Step 4: Simplify right side
    491.02x = 285,515.38
  5. Step 5: Solve for x
    x = 285,515.38/491.02
  6. Step 6: Final answer
    x = 581.47

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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.