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Finding the Fourth Proportional to 503.28, 692.28 and 470.47

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Solution

The fourth proportional to 503.28, 692.28 and 470.47 is: 647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.28 : 692.28 = 470.47 : x
  2. Step 2: Convert to fraction form
    503.28/692.28 = 470.47/x
  3. Step 3: Cross multiply
    503.28x = 692.28 × 470.47
  4. Step 4: Simplify right side
    503.28x = 325,696.97
  5. Step 5: Solve for x
    x = 325,696.97/503.28
  6. Step 6: Final answer
    x = 647.15

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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.