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Finding the Fourth Proportional to 602.34, 830.58 and 416.10

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Solution

The fourth proportional to 602.34, 830.58 and 416.10 is: 573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.34 : 830.58 = 416.10 : x
  2. Step 2: Convert to fraction form
    602.34/830.58 = 416.10/x
  3. Step 3: Cross multiply
    602.34x = 830.58 × 416.10
  4. Step 4: Simplify right side
    602.34x = 345,604.34
  5. Step 5: Solve for x
    x = 345,604.34/602.34
  6. Step 6: Final answer
    x = 573.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.