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Finding the Fourth Proportional to 567.32, 783.01 and 473.90

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Solution

The fourth proportional to 567.32, 783.01 and 473.90 is: 654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.32 : 783.01 = 473.90 : x
  2. Step 2: Convert to fraction form
    567.32/783.01 = 473.90/x
  3. Step 3: Cross multiply
    567.32x = 783.01 × 473.90
  4. Step 4: Simplify right side
    567.32x = 371,065.30
  5. Step 5: Solve for x
    x = 371,065.30/567.32
  6. Step 6: Final answer
    x = 654.07

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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.