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Finding the Fourth Proportional to 525.60, 788.64 and 233.04

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Solution

The fourth proportional to 525.60, 788.64 and 233.04 is: 349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.60 : 788.64 = 233.04 : x
  2. Step 2: Convert to fraction form
    525.60/788.64 = 233.04/x
  3. Step 3: Cross multiply
    525.60x = 788.64 × 233.04
  4. Step 4: Simplify right side
    525.60x = 183,784.67
  5. Step 5: Solve for x
    x = 183,784.67/525.60
  6. Step 6: Final answer
    x = 349.67

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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.