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Finding the Fourth Proportional to 567.58, 782.34 and 401.58

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Solution

The fourth proportional to 567.58, 782.34 and 401.58 is: 553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.58 : 782.34 = 401.58 : x
  2. Step 2: Convert to fraction form
    567.58/782.34 = 401.58/x
  3. Step 3: Cross multiply
    567.58x = 782.34 × 401.58
  4. Step 4: Simplify right side
    567.58x = 314,172.10
  5. Step 5: Solve for x
    x = 314,172.10/567.58
  6. Step 6: Final answer
    x = 553.53

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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.