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Finding the Fourth Proportional to 525.47, 788.43 and 232.93

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Solution

The fourth proportional to 525.47, 788.43 and 232.93 is: 349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.47 : 788.43 = 232.93 : x
  2. Step 2: Convert to fraction form
    525.47/788.43 = 232.93/x
  3. Step 3: Cross multiply
    525.47x = 788.43 × 232.93
  4. Step 4: Simplify right side
    525.47x = 183,649.00
  5. Step 5: Solve for x
    x = 183,649.00/525.47
  6. Step 6: Final answer
    x = 349.49

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1.5x scale

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.