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Finding the Fourth Proportional to 672.86, 928.16 and 424.08

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Solution

The fourth proportional to 672.86, 928.16 and 424.08 is: 585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.86 : 928.16 = 424.08 : x
  2. Step 2: Convert to fraction form
    672.86/928.16 = 424.08/x
  3. Step 3: Cross multiply
    672.86x = 928.16 × 424.08
  4. Step 4: Simplify right side
    672.86x = 393,617.04
  5. Step 5: Solve for x
    x = 393,617.04/672.86
  6. Step 6: Final answer
    x = 585.00

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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.