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Finding the Fourth Proportional to 335.07, 501.53 and 285.86

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Solution

The fourth proportional to 335.07, 501.53 and 285.86 is: 427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.07 : 501.53 = 285.86 : x
  2. Step 2: Convert to fraction form
    335.07/501.53 = 285.86/x
  3. Step 3: Cross multiply
    335.07x = 501.53 × 285.86
  4. Step 4: Simplify right side
    335.07x = 143,367.19
  5. Step 5: Solve for x
    x = 143,367.19/335.07
  6. Step 6: Final answer
    x = 427.87

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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.