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Finding the Fourth Proportional to 398.55, 597.54 and 340.23

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Solution

The fourth proportional to 398.55, 597.54 and 340.23 is: 510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.55 : 597.54 = 340.23 : x
  2. Step 2: Convert to fraction form
    398.55/597.54 = 340.23/x
  3. Step 3: Cross multiply
    398.55x = 597.54 × 340.23
  4. Step 4: Simplify right side
    398.55x = 203,301.03
  5. Step 5: Solve for x
    x = 203,301.03/398.55
  6. Step 6: Final answer
    x = 510.10

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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.