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Finding the Fourth Proportional to 653.50, 901.91 and 377.50

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Solution

The fourth proportional to 653.50, 901.91 and 377.50 is: 521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.50 : 901.91 = 377.50 : x
  2. Step 2: Convert to fraction form
    653.50/901.91 = 377.50/x
  3. Step 3: Cross multiply
    653.50x = 901.91 × 377.50
  4. Step 4: Simplify right side
    653.50x = 340,471.03
  5. Step 5: Solve for x
    x = 340,471.03/653.50
  6. Step 6: Final answer
    x = 521.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.