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Finding the Fourth Proportional to 495.32, 741.51 and 386.78

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Solution

The fourth proportional to 495.32, 741.51 and 386.78 is: 579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.32 : 741.51 = 386.78 : x
  2. Step 2: Convert to fraction form
    495.32/741.51 = 386.78/x
  3. Step 3: Cross multiply
    495.32x = 741.51 × 386.78
  4. Step 4: Simplify right side
    495.32x = 286,797.53
  5. Step 5: Solve for x
    x = 286,797.53/495.32
  6. Step 6: Final answer
    x = 579.02

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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.