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Finding the Fourth Proportional to 567.69, 782.64 and 435

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Solution

The fourth proportional to 567.69, 782.64 and 435 is: 599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.69 : 782.64 = 435 : x
  2. Step 2: Convert to fraction form
    567.69/782.64 = 435/x
  3. Step 3: Cross multiply
    567.69x = 782.64 × 435
  4. Step 4: Simplify right side
    567.69x = 340,448.40
  5. Step 5: Solve for x
    x = 340,448.40/567.69
  6. Step 6: Final answer
    x = 599.71

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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.