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Finding the Fourth Proportional to 357.34, 535.47 and 265.60

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Solution

The fourth proportional to 357.34, 535.47 and 265.60 is: 397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.34 : 535.47 = 265.60 : x
  2. Step 2: Convert to fraction form
    357.34/535.47 = 265.60/x
  3. Step 3: Cross multiply
    357.34x = 535.47 × 265.60
  4. Step 4: Simplify right side
    357.34x = 142,218.15
  5. Step 5: Solve for x
    x = 142,218.15/357.34
  6. Step 6: Final answer
    x = 397.99

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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.