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Finding the Fourth Proportional to 525.51, 725.59 and 339.11

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Solution

The fourth proportional to 525.51, 725.59 and 339.11 is: 468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.51 : 725.59 = 339.11 : x
  2. Step 2: Convert to fraction form
    525.51/725.59 = 339.11/x
  3. Step 3: Cross multiply
    525.51x = 725.59 × 339.11
  4. Step 4: Simplify right side
    525.51x = 246,053.92
  5. Step 5: Solve for x
    x = 246,053.92/525.51
  6. Step 6: Final answer
    x = 468.22

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