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Finding the Fourth Proportional to 571.16, 790.28 and 497.72

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Solution

The fourth proportional to 571.16, 790.28 and 497.72 is: 688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.16 : 790.28 = 497.72 : x
  2. Step 2: Convert to fraction form
    571.16/790.28 = 497.72/x
  3. Step 3: Cross multiply
    571.16x = 790.28 × 497.72
  4. Step 4: Simplify right side
    571.16x = 393,331.72
  5. Step 5: Solve for x
    x = 393,331.72/571.16
  6. Step 6: Final answer
    x = 688.66

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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.