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Finding the Fourth Proportional to 525.40, 788.52 and 493.12

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Solution

The fourth proportional to 525.40, 788.52 and 493.12 is: 740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.40 : 788.52 = 493.12 : x
  2. Step 2: Convert to fraction form
    525.40/788.52 = 493.12/x
  3. Step 3: Cross multiply
    525.40x = 788.52 × 493.12
  4. Step 4: Simplify right side
    525.40x = 388,834.98
  5. Step 5: Solve for x
    x = 388,834.98/525.40
  6. Step 6: Final answer
    x = 740.07

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