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Finding the Fourth Proportional to 567.70, 783.93 and 381.13

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Solution

The fourth proportional to 567.70, 783.93 and 381.13 is: 526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.70 : 783.93 = 381.13 : x
  2. Step 2: Convert to fraction form
    567.70/783.93 = 381.13/x
  3. Step 3: Cross multiply
    567.70x = 783.93 × 381.13
  4. Step 4: Simplify right side
    567.70x = 298,779.24
  5. Step 5: Solve for x
    x = 298,779.24/567.70
  6. Step 6: Final answer
    x = 526.30

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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.