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Finding the Fourth Proportional to 357.72, 535.89 and 345.12

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Solution

The fourth proportional to 357.72, 535.89 and 345.12 is: 517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.72 : 535.89 = 345.12 : x
  2. Step 2: Convert to fraction form
    357.72/535.89 = 345.12/x
  3. Step 3: Cross multiply
    357.72x = 535.89 × 345.12
  4. Step 4: Simplify right side
    357.72x = 184,946.36
  5. Step 5: Solve for x
    x = 184,946.36/357.72
  6. Step 6: Final answer
    x = 517.01

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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.