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Finding the Fourth Proportional to 417.06, 624.51 and 287.46

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Solution

The fourth proportional to 417.06, 624.51 and 287.46 is: 430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.06 : 624.51 = 287.46 : x
  2. Step 2: Convert to fraction form
    417.06/624.51 = 287.46/x
  3. Step 3: Cross multiply
    417.06x = 624.51 × 287.46
  4. Step 4: Simplify right side
    417.06x = 179,521.64
  5. Step 5: Solve for x
    x = 179,521.64/417.06
  6. Step 6: Final answer
    x = 430.45

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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.