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Finding the Fourth Proportional to 567.30, 783.45 and 469.74

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Solution

The fourth proportional to 567.30, 783.45 and 469.74 is: 648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.30 : 783.45 = 469.74 : x
  2. Step 2: Convert to fraction form
    567.30/783.45 = 469.74/x
  3. Step 3: Cross multiply
    567.30x = 783.45 × 469.74
  4. Step 4: Simplify right side
    567.30x = 368,017.80
  5. Step 5: Solve for x
    x = 368,017.80/567.30
  6. Step 6: Final answer
    x = 648.72

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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.