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Finding the Fourth Proportional to 357.69, 533.65 and 318.74

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Solution

The fourth proportional to 357.69, 533.65 and 318.74 is: 475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.69 : 533.65 = 318.74 : x
  2. Step 2: Convert to fraction form
    357.69/533.65 = 318.74/x
  3. Step 3: Cross multiply
    357.69x = 533.65 × 318.74
  4. Step 4: Simplify right side
    357.69x = 170,091.34
  5. Step 5: Solve for x
    x = 170,091.34/357.69
  6. Step 6: Final answer
    x = 475.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.