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Finding the Fourth Proportional to 566.08, 852.52 and 498.35

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Solution

The fourth proportional to 566.08, 852.52 and 498.35 is: 750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.08 : 852.52 = 498.35 : x
  2. Step 2: Convert to fraction form
    566.08/852.52 = 498.35/x
  3. Step 3: Cross multiply
    566.08x = 852.52 × 498.35
  4. Step 4: Simplify right side
    566.08x = 424,853.34
  5. Step 5: Solve for x
    x = 424,853.34/566.08
  6. Step 6: Final answer
    x = 750.52

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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.