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Finding the Fourth Proportional to 505.10, 697.14 and 339.26

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Solution

The fourth proportional to 505.10, 697.14 and 339.26 is: 468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.10 : 697.14 = 339.26 : x
  2. Step 2: Convert to fraction form
    505.10/697.14 = 339.26/x
  3. Step 3: Cross multiply
    505.10x = 697.14 × 339.26
  4. Step 4: Simplify right side
    505.10x = 236,508.23
  5. Step 5: Solve for x
    x = 236,508.23/505.10
  6. Step 6: Final answer
    x = 468.25

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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.