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Finding the Fourth Proportional to 434.76, 599.10 and 316.54

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Solution

The fourth proportional to 434.76, 599.10 and 316.54 is: 436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.76 : 599.10 = 316.54 : x
  2. Step 2: Convert to fraction form
    434.76/599.10 = 316.54/x
  3. Step 3: Cross multiply
    434.76x = 599.10 × 316.54
  4. Step 4: Simplify right side
    434.76x = 189,639.11
  5. Step 5: Solve for x
    x = 189,639.11/434.76
  6. Step 6: Final answer
    x = 436.19

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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.