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Finding the Fourth Proportional to 459.35, 690.54 and 425.53

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Solution

The fourth proportional to 459.35, 690.54 and 425.53 is: 639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.35 : 690.54 = 425.53 : x
  2. Step 2: Convert to fraction form
    459.35/690.54 = 425.53/x
  3. Step 3: Cross multiply
    459.35x = 690.54 × 425.53
  4. Step 4: Simplify right side
    459.35x = 293,845.49
  5. Step 5: Solve for x
    x = 293,845.49/459.35
  6. Step 6: Final answer
    x = 639.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.