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Finding the Fourth Proportional to 554.29, 764.63 and 423.07

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Solution

The fourth proportional to 554.29, 764.63 and 423.07 is: 583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.29 : 764.63 = 423.07 : x
  2. Step 2: Convert to fraction form
    554.29/764.63 = 423.07/x
  3. Step 3: Cross multiply
    554.29x = 764.63 × 423.07
  4. Step 4: Simplify right side
    554.29x = 323,492.01
  5. Step 5: Solve for x
    x = 323,492.01/554.29
  6. Step 6: Final answer
    x = 583.62

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Why These Related Problems?

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