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Finding the Fourth Proportional to 459.06, 685.59 and 397.50

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Solution

The fourth proportional to 459.06, 685.59 and 397.50 is: 593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.06 : 685.59 = 397.50 : x
  2. Step 2: Convert to fraction form
    459.06/685.59 = 397.50/x
  3. Step 3: Cross multiply
    459.06x = 685.59 × 397.50
  4. Step 4: Simplify right side
    459.06x = 272,522.03
  5. Step 5: Solve for x
    x = 272,522.03/459.06
  6. Step 6: Final answer
    x = 593.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.