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Finding the Fourth Proportional to 602.55, 830.91 and 416.34

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Solution

The fourth proportional to 602.55, 830.91 and 416.34 is: 574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.55 : 830.91 = 416.34 : x
  2. Step 2: Convert to fraction form
    602.55/830.91 = 416.34/x
  3. Step 3: Cross multiply
    602.55x = 830.91 × 416.34
  4. Step 4: Simplify right side
    602.55x = 345,941.07
  5. Step 5: Solve for x
    x = 345,941.07/602.55
  6. Step 6: Final answer
    x = 574.13

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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.