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Finding the Fourth Proportional to 434.86, 599.88 and 352.06

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Solution

The fourth proportional to 434.86, 599.88 and 352.06 is: 485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.86 : 599.88 = 352.06 : x
  2. Step 2: Convert to fraction form
    434.86/599.88 = 352.06/x
  3. Step 3: Cross multiply
    434.86x = 599.88 × 352.06
  4. Step 4: Simplify right side
    434.86x = 211,193.75
  5. Step 5: Solve for x
    x = 211,193.75/434.86
  6. Step 6: Final answer
    x = 485.66

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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.