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Finding the Fourth Proportional to 567.70, 783.75 and 381.40

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Solution

The fourth proportional to 567.70, 783.75 and 381.40 is: 526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.70 : 783.75 = 381.40 : x
  2. Step 2: Convert to fraction form
    567.70/783.75 = 381.40/x
  3. Step 3: Cross multiply
    567.70x = 783.75 × 381.40
  4. Step 4: Simplify right side
    567.70x = 298,922.25
  5. Step 5: Solve for x
    x = 298,922.25/567.70
  6. Step 6: Final answer
    x = 526.55

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1.5x scale

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.