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Finding the Fourth Proportional to 395.07, 589.52 and 354.08

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Solution

The fourth proportional to 395.07, 589.52 and 354.08 is: 528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.07 : 589.52 = 354.08 : x
  2. Step 2: Convert to fraction form
    395.07/589.52 = 354.08/x
  3. Step 3: Cross multiply
    395.07x = 589.52 × 354.08
  4. Step 4: Simplify right side
    395.07x = 208,732.52
  5. Step 5: Solve for x
    x = 208,732.52/395.07
  6. Step 6: Final answer
    x = 528.34

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Why These Related Problems?

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