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Finding the Fourth Proportional to 567.48, 782.88 and 346.55

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Solution

The fourth proportional to 567.48, 782.88 and 346.55 is: 478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.48 : 782.88 = 346.55 : x
  2. Step 2: Convert to fraction form
    567.48/782.88 = 346.55/x
  3. Step 3: Cross multiply
    567.48x = 782.88 × 346.55
  4. Step 4: Simplify right side
    567.48x = 271,303.15
  5. Step 5: Solve for x
    x = 271,303.15/567.48
  6. Step 6: Final answer
    x = 478.08

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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.