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Finding the Fourth Proportional to 473.58, 711.18 and 416.07

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Solution

The fourth proportional to 473.58, 711.18 and 416.07 is: 624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.58 : 711.18 = 416.07 : x
  2. Step 2: Convert to fraction form
    473.58/711.18 = 416.07/x
  3. Step 3: Cross multiply
    473.58x = 711.18 × 416.07
  4. Step 4: Simplify right side
    473.58x = 295,900.66
  5. Step 5: Solve for x
    x = 295,900.66/473.58
  6. Step 6: Final answer
    x = 624.82

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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.