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Finding the Fourth Proportional to 434.28, 596.08 and 384.32

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Solution

The fourth proportional to 434.28, 596.08 and 384.32 is: 527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.28 : 596.08 = 384.32 : x
  2. Step 2: Convert to fraction form
    434.28/596.08 = 384.32/x
  3. Step 3: Cross multiply
    434.28x = 596.08 × 384.32
  4. Step 4: Simplify right side
    434.28x = 229,085.47
  5. Step 5: Solve for x
    x = 229,085.47/434.28
  6. Step 6: Final answer
    x = 527.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.