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Finding the Fourth Proportional to 543.64, 750.21 and 294.96

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Solution

The fourth proportional to 543.64, 750.21 and 294.96 is: 407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.64 : 750.21 = 294.96 : x
  2. Step 2: Convert to fraction form
    543.64/750.21 = 294.96/x
  3. Step 3: Cross multiply
    543.64x = 750.21 × 294.96
  4. Step 4: Simplify right side
    543.64x = 221,281.94
  5. Step 5: Solve for x
    x = 221,281.94/543.64
  6. Step 6: Final answer
    x = 407.04

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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.