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Finding the Fourth Proportional to 350.02, 524.04 and 290.98

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Solution

The fourth proportional to 350.02, 524.04 and 290.98 is: 435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.02 : 524.04 = 290.98 : x
  2. Step 2: Convert to fraction form
    350.02/524.04 = 290.98/x
  3. Step 3: Cross multiply
    350.02x = 524.04 × 290.98
  4. Step 4: Simplify right side
    350.02x = 152,485.16
  5. Step 5: Solve for x
    x = 152,485.16/350.02
  6. Step 6: Final answer
    x = 435.65

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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.