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Finding the Fourth Proportional to 525.64, 788.53 and 294.03

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Solution

The fourth proportional to 525.64, 788.53 and 294.03 is: 441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.64 : 788.53 = 294.03 : x
  2. Step 2: Convert to fraction form
    525.64/788.53 = 294.03/x
  3. Step 3: Cross multiply
    525.64x = 788.53 × 294.03
  4. Step 4: Simplify right side
    525.64x = 231,851.48
  5. Step 5: Solve for x
    x = 231,851.48/525.64
  6. Step 6: Final answer
    x = 441.08

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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.