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Finding the Fourth Proportional to 612.68, 846.64 and 582.72

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Solution

The fourth proportional to 612.68, 846.64 and 582.72 is: 805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.68 : 846.64 = 582.72 : x
  2. Step 2: Convert to fraction form
    612.68/846.64 = 582.72/x
  3. Step 3: Cross multiply
    612.68x = 846.64 × 582.72
  4. Step 4: Simplify right side
    612.68x = 493,354.06
  5. Step 5: Solve for x
    x = 493,354.06/612.68
  6. Step 6: Final answer
    x = 805.24

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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.