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Finding the Fourth Proportional to 567.42, 784.02 and 437.55

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Solution

The fourth proportional to 567.42, 784.02 and 437.55 is: 604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.42 : 784.02 = 437.55 : x
  2. Step 2: Convert to fraction form
    567.42/784.02 = 437.55/x
  3. Step 3: Cross multiply
    567.42x = 784.02 × 437.55
  4. Step 4: Simplify right side
    567.42x = 343,047.95
  5. Step 5: Solve for x
    x = 343,047.95/567.42
  6. Step 6: Final answer
    x = 604.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.