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Finding the Fourth Proportional to 525.40, 786.73 and 370.50

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Solution

The fourth proportional to 525.40, 786.73 and 370.50 is: 554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.40 : 786.73 = 370.50 : x
  2. Step 2: Convert to fraction form
    525.40/786.73 = 370.50/x
  3. Step 3: Cross multiply
    525.40x = 786.73 × 370.50
  4. Step 4: Simplify right side
    525.40x = 291,483.47
  5. Step 5: Solve for x
    x = 291,483.47/525.40
  6. Step 6: Final answer
    x = 554.78

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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.