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Finding the Fourth Proportional to 386.17, 533.48 and 357.01

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Solution

The fourth proportional to 386.17, 533.48 and 357.01 is: 493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.17 : 533.48 = 357.01 : x
  2. Step 2: Convert to fraction form
    386.17/533.48 = 357.01/x
  3. Step 3: Cross multiply
    386.17x = 533.48 × 357.01
  4. Step 4: Simplify right side
    386.17x = 190,453.24
  5. Step 5: Solve for x
    x = 190,453.24/386.17
  6. Step 6: Final answer
    x = 493.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.