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Finding the Fourth Proportional to 549.63, 828.29 and 469.53

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Solution

The fourth proportional to 549.63, 828.29 and 469.53 is: 707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.63 : 828.29 = 469.53 : x
  2. Step 2: Convert to fraction form
    549.63/828.29 = 469.53/x
  3. Step 3: Cross multiply
    549.63x = 828.29 × 469.53
  4. Step 4: Simplify right side
    549.63x = 388,908.18
  5. Step 5: Solve for x
    x = 388,908.18/549.63
  6. Step 6: Final answer
    x = 707.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.