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Finding the Fourth Proportional to 491.64, 736.77 and 388.47

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Solution

The fourth proportional to 491.64, 736.77 and 388.47 is: 582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.64 : 736.77 = 388.47 : x
  2. Step 2: Convert to fraction form
    491.64/736.77 = 388.47/x
  3. Step 3: Cross multiply
    491.64x = 736.77 × 388.47
  4. Step 4: Simplify right side
    491.64x = 286,213.04
  5. Step 5: Solve for x
    x = 286,213.04/491.64
  6. Step 6: Final answer
    x = 582.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.