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Finding the Fourth Proportional to 566.04, 780.58 and 410.52

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Solution

The fourth proportional to 566.04, 780.58 and 410.52 is: 566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.04 : 780.58 = 410.52 : x
  2. Step 2: Convert to fraction form
    566.04/780.58 = 410.52/x
  3. Step 3: Cross multiply
    566.04x = 780.58 × 410.52
  4. Step 4: Simplify right side
    566.04x = 320,443.70
  5. Step 5: Solve for x
    x = 320,443.70/566.04
  6. Step 6: Final answer
    x = 566.11

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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.