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Finding the Fourth Proportional to 354.23, 529.62 and 346.06

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Solution

The fourth proportional to 354.23, 529.62 and 346.06 is: 517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.23 : 529.62 = 346.06 : x
  2. Step 2: Convert to fraction form
    354.23/529.62 = 346.06/x
  3. Step 3: Cross multiply
    354.23x = 529.62 × 346.06
  4. Step 4: Simplify right side
    354.23x = 183,280.30
  5. Step 5: Solve for x
    x = 183,280.30/354.23
  6. Step 6: Final answer
    x = 517.40

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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.