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Finding the Fourth Proportional to 602.10, 830.78 and 340.08

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Solution

The fourth proportional to 602.10, 830.78 and 340.08 is: 469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.10 : 830.78 = 340.08 : x
  2. Step 2: Convert to fraction form
    602.10/830.78 = 340.08/x
  3. Step 3: Cross multiply
    602.10x = 830.78 × 340.08
  4. Step 4: Simplify right side
    602.10x = 282,531.66
  5. Step 5: Solve for x
    x = 282,531.66/602.10
  6. Step 6: Final answer
    x = 469.24

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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.