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Finding the Fourth Proportional to 567.07, 783.30 and 420.46

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Solution

The fourth proportional to 567.07, 783.30 and 420.46 is: 580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.07 : 783.30 = 420.46 : x
  2. Step 2: Convert to fraction form
    567.07/783.30 = 420.46/x
  3. Step 3: Cross multiply
    567.07x = 783.30 × 420.46
  4. Step 4: Simplify right side
    567.07x = 329,345.94
  5. Step 5: Solve for x
    x = 329,345.94/567.07
  6. Step 6: Final answer
    x = 580.79

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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.