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Finding the Fourth Proportional to 357.01, 534.71 and 202.84

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Solution

The fourth proportional to 357.01, 534.71 and 202.84 is: 303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.01 : 534.71 = 202.84 : x
  2. Step 2: Convert to fraction form
    357.01/534.71 = 202.84/x
  3. Step 3: Cross multiply
    357.01x = 534.71 × 202.84
  4. Step 4: Simplify right side
    357.01x = 108,459.75
  5. Step 5: Solve for x
    x = 108,459.75/357.01
  6. Step 6: Final answer
    x = 303.80

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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.