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Finding the Fourth Proportional to 567.99, 783.96 and 332.06

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Solution

The fourth proportional to 567.99, 783.96 and 332.06 is: 458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.99 : 783.96 = 332.06 : x
  2. Step 2: Convert to fraction form
    567.99/783.96 = 332.06/x
  3. Step 3: Cross multiply
    567.99x = 783.96 × 332.06
  4. Step 4: Simplify right side
    567.99x = 260,317.84
  5. Step 5: Solve for x
    x = 260,317.84/567.99
  6. Step 6: Final answer
    x = 458.31

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Why These Related Problems?

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