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Finding the Fourth Proportional to 567.64, 783.57 and 381.24

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Solution

The fourth proportional to 567.64, 783.57 and 381.24 is: 526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.64 : 783.57 = 381.24 : x
  2. Step 2: Convert to fraction form
    567.64/783.57 = 381.24/x
  3. Step 3: Cross multiply
    567.64x = 783.57 × 381.24
  4. Step 4: Simplify right side
    567.64x = 298,729.66
  5. Step 5: Solve for x
    x = 298,729.66/567.64
  6. Step 6: Final answer
    x = 526.26

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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.