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Finding the Fourth Proportional to 434.23, 598.96 and 368.28

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Solution

The fourth proportional to 434.23, 598.96 and 368.28 is: 508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.23 : 598.96 = 368.28 : x
  2. Step 2: Convert to fraction form
    434.23/598.96 = 368.28/x
  3. Step 3: Cross multiply
    434.23x = 598.96 × 368.28
  4. Step 4: Simplify right side
    434.23x = 220,585.45
  5. Step 5: Solve for x
    x = 220,585.45/434.23
  6. Step 6: Final answer
    x = 508.00

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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.