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Finding the Fourth Proportional to 567.94, 783.77 and 332.04

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Solution

The fourth proportional to 567.94, 783.77 and 332.04 is: 458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.94 : 783.77 = 332.04 : x
  2. Step 2: Convert to fraction form
    567.94/783.77 = 332.04/x
  3. Step 3: Cross multiply
    567.94x = 783.77 × 332.04
  4. Step 4: Simplify right side
    567.94x = 260,242.99
  5. Step 5: Solve for x
    x = 260,242.99/567.94
  6. Step 6: Final answer
    x = 458.22

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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.