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Finding the Fourth Proportional to 515.19, 710.96 and 282.32

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Solution

The fourth proportional to 515.19, 710.96 and 282.32 is: 389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.19 : 710.96 = 282.32 : x
  2. Step 2: Convert to fraction form
    515.19/710.96 = 282.32/x
  3. Step 3: Cross multiply
    515.19x = 710.96 × 282.32
  4. Step 4: Simplify right side
    515.19x = 200,714.67
  5. Step 5: Solve for x
    x = 200,714.67/515.19
  6. Step 6: Final answer
    x = 389.59

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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.