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Finding the Fourth Proportional to 596.46, 824.10 and 430.34

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Solution

The fourth proportional to 596.46, 824.10 and 430.34 is: 594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.46 : 824.10 = 430.34 : x
  2. Step 2: Convert to fraction form
    596.46/824.10 = 430.34/x
  3. Step 3: Cross multiply
    596.46x = 824.10 × 430.34
  4. Step 4: Simplify right side
    596.46x = 354,643.19
  5. Step 5: Solve for x
    x = 354,643.19/596.46
  6. Step 6: Final answer
    x = 594.58

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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.