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Finding the Fourth Proportional to 585, 807.30 and 410.45

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Solution

The fourth proportional to 585, 807.30 and 410.45 is: 566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585 : 807.30 = 410.45 : x
  2. Step 2: Convert to fraction form
    585/807.30 = 410.45/x
  3. Step 3: Cross multiply
    585x = 807.30 × 410.45
  4. Step 4: Simplify right side
    585x = 331,352.25
  5. Step 5: Solve for x
    x = 331,352.25/585
  6. Step 6: Final answer
    x = 566.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.