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Finding the Fourth Proportional to 504.32, 695.40 and 438.64

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Solution

The fourth proportional to 504.32, 695.40 and 438.64 is: 604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.32 : 695.40 = 438.64 : x
  2. Step 2: Convert to fraction form
    504.32/695.40 = 438.64/x
  3. Step 3: Cross multiply
    504.32x = 695.40 × 438.64
  4. Step 4: Simplify right side
    504.32x = 305,030.26
  5. Step 5: Solve for x
    x = 305,030.26/504.32
  6. Step 6: Final answer
    x = 604.83

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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.