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Finding the Fourth Proportional to 567.54, 783.18 and 318.86

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Solution

The fourth proportional to 567.54, 783.18 and 318.86 is: 440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.54 : 783.18 = 318.86 : x
  2. Step 2: Convert to fraction form
    567.54/783.18 = 318.86/x
  3. Step 3: Cross multiply
    567.54x = 783.18 × 318.86
  4. Step 4: Simplify right side
    567.54x = 249,720.86
  5. Step 5: Solve for x
    x = 249,720.86/567.54
  6. Step 6: Final answer
    x = 440.01

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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.