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Finding the Fourth Proportional to 598.54, 896.54 and 416.28

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Solution

The fourth proportional to 598.54, 896.54 and 416.28 is: 623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.54 : 896.54 = 416.28 : x
  2. Step 2: Convert to fraction form
    598.54/896.54 = 416.28/x
  3. Step 3: Cross multiply
    598.54x = 896.54 × 416.28
  4. Step 4: Simplify right side
    598.54x = 373,211.67
  5. Step 5: Solve for x
    x = 373,211.67/598.54
  6. Step 6: Final answer
    x = 623.54

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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.