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Finding the Fourth Proportional to 582.60, 873.66 and 364.80

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Solution

The fourth proportional to 582.60, 873.66 and 364.80 is: 547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.60 : 873.66 = 364.80 : x
  2. Step 2: Convert to fraction form
    582.60/873.66 = 364.80/x
  3. Step 3: Cross multiply
    582.60x = 873.66 × 364.80
  4. Step 4: Simplify right side
    582.60x = 318,711.17
  5. Step 5: Solve for x
    x = 318,711.17/582.60
  6. Step 6: Final answer
    x = 547.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.