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Finding the Fourth Proportional to 549.51, 758.42 and 313.50

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Solution

The fourth proportional to 549.51, 758.42 and 313.50 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.51 : 758.42 = 313.50 : x
  2. Step 2: Convert to fraction form
    549.51/758.42 = 313.50/x
  3. Step 3: Cross multiply
    549.51x = 758.42 × 313.50
  4. Step 4: Simplify right side
    549.51x = 237,763.10
  5. Step 5: Solve for x
    x = 237,763.10/549.51
  6. Step 6: Final answer
    x = 432.68

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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.