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Finding the Fourth Proportional to 602.04, 830.67 and 340.00

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Solution

The fourth proportional to 602.04, 830.67 and 340.00 is: 469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.04 : 830.67 = 340.00 : x
  2. Step 2: Convert to fraction form
    602.04/830.67 = 340.00/x
  3. Step 3: Cross multiply
    602.04x = 830.67 × 340.00
  4. Step 4: Simplify right side
    602.04x = 282,429.88
  5. Step 5: Solve for x
    x = 282,429.88/602.04
  6. Step 6: Final answer
    x = 469.12

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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.