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Finding the Fourth Proportional to 417.58, 626.59 and 315.50

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Solution

The fourth proportional to 417.58, 626.59 and 315.50 is: 473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.58 : 626.59 = 315.50 : x
  2. Step 2: Convert to fraction form
    417.58/626.59 = 315.50/x
  3. Step 3: Cross multiply
    417.58x = 626.59 × 315.50
  4. Step 4: Simplify right side
    417.58x = 197,689.15
  5. Step 5: Solve for x
    x = 197,689.15/417.58
  6. Step 6: Final answer
    x = 473.42

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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.