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Finding the Fourth Proportional to 614.06, 846.08 and 417.23

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Solution

The fourth proportional to 614.06, 846.08 and 417.23 is: 574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.06 : 846.08 = 417.23 : x
  2. Step 2: Convert to fraction form
    614.06/846.08 = 417.23/x
  3. Step 3: Cross multiply
    614.06x = 846.08 × 417.23
  4. Step 4: Simplify right side
    614.06x = 353,009.96
  5. Step 5: Solve for x
    x = 353,009.96/614.06
  6. Step 6: Final answer
    x = 574.88

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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.