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Finding the Fourth Proportional to 602.17, 830.36 and 392.53

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Solution

The fourth proportional to 602.17, 830.36 and 392.53 is: 541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.17 : 830.36 = 392.53 : x
  2. Step 2: Convert to fraction form
    602.17/830.36 = 392.53/x
  3. Step 3: Cross multiply
    602.17x = 830.36 × 392.53
  4. Step 4: Simplify right side
    602.17x = 325,941.21
  5. Step 5: Solve for x
    x = 325,941.21/602.17
  6. Step 6: Final answer
    x = 541.28

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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.