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Finding the Fourth Proportional to 554.40, 764.28 and 429.84

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Solution

The fourth proportional to 554.40, 764.28 and 429.84 is: 592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.40 : 764.28 = 429.84 : x
  2. Step 2: Convert to fraction form
    554.40/764.28 = 429.84/x
  3. Step 3: Cross multiply
    554.40x = 764.28 × 429.84
  4. Step 4: Simplify right side
    554.40x = 328,518.12
  5. Step 5: Solve for x
    x = 328,518.12/554.40
  6. Step 6: Final answer
    x = 592.57

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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.