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Finding the Fourth Proportional to 567.63, 783.27 and 318.93

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Solution

The fourth proportional to 567.63, 783.27 and 318.93 is: 440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.63 : 783.27 = 318.93 : x
  2. Step 2: Convert to fraction form
    567.63/783.27 = 318.93/x
  3. Step 3: Cross multiply
    567.63x = 783.27 × 318.93
  4. Step 4: Simplify right side
    567.63x = 249,808.30
  5. Step 5: Solve for x
    x = 249,808.30/567.63
  6. Step 6: Final answer
    x = 440.09

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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.