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Finding the Fourth Proportional to 599.76, 898.74 and 417.06

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Solution

The fourth proportional to 599.76, 898.74 and 417.06 is: 624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.76 : 898.74 = 417.06 : x
  2. Step 2: Convert to fraction form
    599.76/898.74 = 417.06/x
  3. Step 3: Cross multiply
    599.76x = 898.74 × 417.06
  4. Step 4: Simplify right side
    599.76x = 374,828.50
  5. Step 5: Solve for x
    x = 374,828.50/599.76
  6. Step 6: Final answer
    x = 624.96

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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.