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Finding the Fourth Proportional to 596.18, 821.57 and 430.08

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Solution

The fourth proportional to 596.18, 821.57 and 430.08 is: 592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.18 : 821.57 = 430.08 : x
  2. Step 2: Convert to fraction form
    596.18/821.57 = 430.08/x
  3. Step 3: Cross multiply
    596.18x = 821.57 × 430.08
  4. Step 4: Simplify right side
    596.18x = 353,336.80
  5. Step 5: Solve for x
    x = 353,336.80/596.18
  6. Step 6: Final answer
    x = 592.67

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1.5x scale

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.