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Finding the Fourth Proportional to 614.04, 846.63 and 535.07

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Solution

The fourth proportional to 614.04, 846.63 and 535.07 is: 737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.04 : 846.63 = 535.07 : x
  2. Step 2: Convert to fraction form
    614.04/846.63 = 535.07/x
  3. Step 3: Cross multiply
    614.04x = 846.63 × 535.07
  4. Step 4: Simplify right side
    614.04x = 453,002.08
  5. Step 5: Solve for x
    x = 453,002.08/614.04
  6. Step 6: Final answer
    x = 737.74

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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.