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Finding the Fourth Proportional to 520.16, 717.12 and 431.30

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Solution

The fourth proportional to 520.16, 717.12 and 431.30 is: 594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.16 : 717.12 = 431.30 : x
  2. Step 2: Convert to fraction form
    520.16/717.12 = 431.30/x
  3. Step 3: Cross multiply
    520.16x = 717.12 × 431.30
  4. Step 4: Simplify right side
    520.16x = 309,295.65
  5. Step 5: Solve for x
    x = 309,295.65/520.16
  6. Step 6: Final answer
    x = 594.62

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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.