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Finding the Fourth Proportional to 434.40, 598.20 and 368.10

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Solution

The fourth proportional to 434.40, 598.20 and 368.10 is: 506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.40 : 598.20 = 368.10 : x
  2. Step 2: Convert to fraction form
    434.40/598.20 = 368.10/x
  3. Step 3: Cross multiply
    434.40x = 598.20 × 368.10
  4. Step 4: Simplify right side
    434.40x = 220,197.42
  5. Step 5: Solve for x
    x = 220,197.42/434.40
  6. Step 6: Final answer
    x = 506.90

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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.