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Finding the Fourth Proportional to 614.16, 846.96 and 474.06

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Solution

The fourth proportional to 614.16, 846.96 and 474.06 is: 653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.16 : 846.96 = 474.06 : x
  2. Step 2: Convert to fraction form
    614.16/846.96 = 474.06/x
  3. Step 3: Cross multiply
    614.16x = 846.96 × 474.06
  4. Step 4: Simplify right side
    614.16x = 401,509.86
  5. Step 5: Solve for x
    x = 401,509.86/614.16
  6. Step 6: Final answer
    x = 653.75

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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.