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Finding the Fourth Proportional to 504.97, 697.10 and 339.12

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Solution

The fourth proportional to 504.97, 697.10 and 339.12 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.97 : 697.10 = 339.12 : x
  2. Step 2: Convert to fraction form
    504.97/697.10 = 339.12/x
  3. Step 3: Cross multiply
    504.97x = 697.10 × 339.12
  4. Step 4: Simplify right side
    504.97x = 236,395.37
  5. Step 5: Solve for x
    x = 236,395.37/504.97
  6. Step 6: Final answer
    x = 468.14

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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.