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Finding the Fourth Proportional to 514.99, 710.69 and 282.12

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Solution

The fourth proportional to 514.99, 710.69 and 282.12 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.99 : 710.69 = 282.12 : x
  2. Step 2: Convert to fraction form
    514.99/710.69 = 282.12/x
  3. Step 3: Cross multiply
    514.99x = 710.69 × 282.12
  4. Step 4: Simplify right side
    514.99x = 200,499.86
  5. Step 5: Solve for x
    x = 200,499.86/514.99
  6. Step 6: Final answer
    x = 389.33

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Double scale
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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.