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Finding the Fourth Proportional to 633.76, 954.64 and 566.08

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Solution

The fourth proportional to 633.76, 954.64 and 566.08 is: 852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.76 : 954.64 = 566.08 : x
  2. Step 2: Convert to fraction form
    633.76/954.64 = 566.08/x
  3. Step 3: Cross multiply
    633.76x = 954.64 × 566.08
  4. Step 4: Simplify right side
    633.76x = 540,402.61
  5. Step 5: Solve for x
    x = 540,402.61/633.76
  6. Step 6: Final answer
    x = 852.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.