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Finding the Fourth Proportional to 520.32, 717 and 422.16

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Solution

The fourth proportional to 520.32, 717 and 422.16 is: 581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.32 : 717 = 422.16 : x
  2. Step 2: Convert to fraction form
    520.32/717 = 422.16/x
  3. Step 3: Cross multiply
    520.32x = 717 × 422.16
  4. Step 4: Simplify right side
    520.32x = 302,688.72
  5. Step 5: Solve for x
    x = 302,688.72/520.32
  6. Step 6: Final answer
    x = 581.74

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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.