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Finding the Fourth Proportional to 459.98, 688.82 and 416.16

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Solution

The fourth proportional to 459.98, 688.82 and 416.16 is: 623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.98 : 688.82 = 416.16 : x
  2. Step 2: Convert to fraction form
    459.98/688.82 = 416.16/x
  3. Step 3: Cross multiply
    459.98x = 688.82 × 416.16
  4. Step 4: Simplify right side
    459.98x = 286,659.33
  5. Step 5: Solve for x
    x = 286,659.33/459.98
  6. Step 6: Final answer
    x = 623.20

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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.