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Finding the Fourth Proportional to 602.56, 830.64 and 436.48

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Solution

The fourth proportional to 602.56, 830.64 and 436.48 is: 601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.56 : 830.64 = 436.48 : x
  2. Step 2: Convert to fraction form
    602.56/830.64 = 436.48/x
  3. Step 3: Cross multiply
    602.56x = 830.64 × 436.48
  4. Step 4: Simplify right side
    602.56x = 362,557.75
  5. Step 5: Solve for x
    x = 362,557.75/602.56
  6. Step 6: Final answer
    x = 601.70

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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.