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Finding the Fourth Proportional to 597.78, 898.29 and 416.34

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Solution

The fourth proportional to 597.78, 898.29 and 416.34 is: 625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.78 : 898.29 = 416.34 : x
  2. Step 2: Convert to fraction form
    597.78/898.29 = 416.34/x
  3. Step 3: Cross multiply
    597.78x = 898.29 × 416.34
  4. Step 4: Simplify right side
    597.78x = 373,994.06
  5. Step 5: Solve for x
    x = 373,994.06/597.78
  6. Step 6: Final answer
    x = 625.64

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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.