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Finding the Fourth Proportional to 525.68, 788.72 and 465.33

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Solution

The fourth proportional to 525.68, 788.72 and 465.33 is: 698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.68 : 788.72 = 465.33 : x
  2. Step 2: Convert to fraction form
    525.68/788.72 = 465.33/x
  3. Step 3: Cross multiply
    525.68x = 788.72 × 465.33
  4. Step 4: Simplify right side
    525.68x = 367,015.08
  5. Step 5: Solve for x
    x = 367,015.08/525.68
  6. Step 6: Final answer
    x = 698.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.