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Finding the Fourth Proportional to 525.99, 725.94 and 340.02

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Solution

The fourth proportional to 525.99, 725.94 and 340.02 is: 469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.99 : 725.94 = 340.02 : x
  2. Step 2: Convert to fraction form
    525.99/725.94 = 340.02/x
  3. Step 3: Cross multiply
    525.99x = 725.94 × 340.02
  4. Step 4: Simplify right side
    525.99x = 246,834.12
  5. Step 5: Solve for x
    x = 246,834.12/525.99
  6. Step 6: Final answer
    x = 469.28

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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.