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Finding the Fourth Proportional to 549.16, 823.18 and 260.26

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Solution

The fourth proportional to 549.16, 823.18 and 260.26 is: 390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.16 : 823.18 = 260.26 : x
  2. Step 2: Convert to fraction form
    549.16/823.18 = 260.26/x
  3. Step 3: Cross multiply
    549.16x = 823.18 × 260.26
  4. Step 4: Simplify right side
    549.16x = 214,240.83
  5. Step 5: Solve for x
    x = 214,240.83/549.16
  6. Step 6: Final answer
    x = 390.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.