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Finding the Fourth Proportional to 525.88, 788.46 and 294.58

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Solution

The fourth proportional to 525.88, 788.46 and 294.58 is: 441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.88 : 788.46 = 294.58 : x
  2. Step 2: Convert to fraction form
    525.88/788.46 = 294.58/x
  3. Step 3: Cross multiply
    525.88x = 788.46 × 294.58
  4. Step 4: Simplify right side
    525.88x = 232,264.55
  5. Step 5: Solve for x
    x = 232,264.55/525.88
  6. Step 6: Final answer
    x = 441.67

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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.