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Finding the Fourth Proportional to 549.99, 759.07 and 340.16

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Solution

The fourth proportional to 549.99, 759.07 and 340.16 is: 469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.99 : 759.07 = 340.16 : x
  2. Step 2: Convert to fraction form
    549.99/759.07 = 340.16/x
  3. Step 3: Cross multiply
    549.99x = 759.07 × 340.16
  4. Step 4: Simplify right side
    549.99x = 258,199.76
  5. Step 5: Solve for x
    x = 258,199.76/549.99
  6. Step 6: Final answer
    x = 469.46

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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.