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Finding the Fourth Proportional to 602.64, 830.32 and 452.59

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Solution

The fourth proportional to 602.64, 830.32 and 452.59 is: 623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.64 : 830.32 = 452.59 : x
  2. Step 2: Convert to fraction form
    602.64/830.32 = 452.59/x
  3. Step 3: Cross multiply
    602.64x = 830.32 × 452.59
  4. Step 4: Simplify right side
    602.64x = 375,791.32
  5. Step 5: Solve for x
    x = 375,791.32/602.64
  6. Step 6: Final answer
    x = 623.58

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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.