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Finding the Fourth Proportional to 501.16, 690.80 and 335.06

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Solution

The fourth proportional to 501.16, 690.80 and 335.06 is: 461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.16 : 690.80 = 335.06 : x
  2. Step 2: Convert to fraction form
    501.16/690.80 = 335.06/x
  3. Step 3: Cross multiply
    501.16x = 690.80 × 335.06
  4. Step 4: Simplify right side
    501.16x = 231,459.45
  5. Step 5: Solve for x
    x = 231,459.45/501.16
  6. Step 6: Final answer
    x = 461.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.