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Finding the Fourth Proportional to 566.63, 782.03 and 473.23

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Solution

The fourth proportional to 566.63, 782.03 and 473.23 is: 653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.63 : 782.03 = 473.23 : x
  2. Step 2: Convert to fraction form
    566.63/782.03 = 473.23/x
  3. Step 3: Cross multiply
    566.63x = 782.03 × 473.23
  4. Step 4: Simplify right side
    566.63x = 370,080.06
  5. Step 5: Solve for x
    x = 370,080.06/566.63
  6. Step 6: Final answer
    x = 653.12

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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.