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Finding the Fourth Proportional to 534.42, 801.60 and 245.64

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Solution

The fourth proportional to 534.42, 801.60 and 245.64 is: 368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.42 : 801.60 = 245.64 : x
  2. Step 2: Convert to fraction form
    534.42/801.60 = 245.64/x
  3. Step 3: Cross multiply
    534.42x = 801.60 × 245.64
  4. Step 4: Simplify right side
    534.42x = 196,905.02
  5. Step 5: Solve for x
    x = 196,905.02/534.42
  6. Step 6: Final answer
    x = 368.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.