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Finding the Fourth Proportional to 582.85, 873.46 and 339.45

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Solution

The fourth proportional to 582.85, 873.46 and 339.45 is: 508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.85 : 873.46 = 339.45 : x
  2. Step 2: Convert to fraction form
    582.85/873.46 = 339.45/x
  3. Step 3: Cross multiply
    582.85x = 873.46 × 339.45
  4. Step 4: Simplify right side
    582.85x = 296,496.00
  5. Step 5: Solve for x
    x = 296,496.00/582.85
  6. Step 6: Final answer
    x = 508.70

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