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Finding the Fourth Proportional to 567.41, 784.02 and 437.54

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Solution

The fourth proportional to 567.41, 784.02 and 437.54 is: 604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.41 : 784.02 = 437.54 : x
  2. Step 2: Convert to fraction form
    567.41/784.02 = 437.54/x
  3. Step 3: Cross multiply
    567.41x = 784.02 × 437.54
  4. Step 4: Simplify right side
    567.41x = 343,036.19
  5. Step 5: Solve for x
    x = 343,036.19/567.41
  6. Step 6: Final answer
    x = 604.57

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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.