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Finding the Fourth Proportional to 602.02, 830.62 and 340.02

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Solution

The fourth proportional to 602.02, 830.62 and 340.02 is: 469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.02 : 830.62 = 340.02 : x
  2. Step 2: Convert to fraction form
    602.02/830.62 = 340.02/x
  3. Step 3: Cross multiply
    602.02x = 830.62 × 340.02
  4. Step 4: Simplify right side
    602.02x = 282,427.41
  5. Step 5: Solve for x
    x = 282,427.41/602.02
  6. Step 6: Final answer
    x = 469.13

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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.