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Finding the Fourth Proportional to 565.03, 852.04 and 557.32

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Solution

The fourth proportional to 565.03, 852.04 and 557.32 is: 840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.03 : 852.04 = 557.32 : x
  2. Step 2: Convert to fraction form
    565.03/852.04 = 557.32/x
  3. Step 3: Cross multiply
    565.03x = 852.04 × 557.32
  4. Step 4: Simplify right side
    565.03x = 474,858.93
  5. Step 5: Solve for x
    x = 474,858.93/565.03
  6. Step 6: Final answer
    x = 840.41

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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.