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Finding the Fourth Proportional to 353.86, 530.37 and 350.01

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Solution

The fourth proportional to 353.86, 530.37 and 350.01 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.86 : 530.37 = 350.01 : x
  2. Step 2: Convert to fraction form
    353.86/530.37 = 350.01/x
  3. Step 3: Cross multiply
    353.86x = 530.37 × 350.01
  4. Step 4: Simplify right side
    353.86x = 185,634.80
  5. Step 5: Solve for x
    x = 185,634.80/353.86
  6. Step 6: Final answer
    x = 524.60

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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.