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Finding the Fourth Proportional to 395.45, 595.47 and 293.45

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Solution

The fourth proportional to 395.45, 595.47 and 293.45 is: 441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.45 : 595.47 = 293.45 : x
  2. Step 2: Convert to fraction form
    395.45/595.47 = 293.45/x
  3. Step 3: Cross multiply
    395.45x = 595.47 × 293.45
  4. Step 4: Simplify right side
    395.45x = 174,742.16
  5. Step 5: Solve for x
    x = 174,742.16/395.45
  6. Step 6: Final answer
    x = 441.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.