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Finding the Fourth Proportional to 525.20, 784.06 and 434.07

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Solution

The fourth proportional to 525.20, 784.06 and 434.07 is: 648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.20 : 784.06 = 434.07 : x
  2. Step 2: Convert to fraction form
    525.20/784.06 = 434.07/x
  3. Step 3: Cross multiply
    525.20x = 784.06 × 434.07
  4. Step 4: Simplify right side
    525.20x = 340,335.84
  5. Step 5: Solve for x
    x = 340,335.84/525.20
  6. Step 6: Final answer
    x = 648.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.