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Finding the Fourth Proportional to 554.06, 829.02 and 437.60

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Solution

The fourth proportional to 554.06, 829.02 and 437.60 is: 654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.06 : 829.02 = 437.60 : x
  2. Step 2: Convert to fraction form
    554.06/829.02 = 437.60/x
  3. Step 3: Cross multiply
    554.06x = 829.02 × 437.60
  4. Step 4: Simplify right side
    554.06x = 362,779.15
  5. Step 5: Solve for x
    x = 362,779.15/554.06
  6. Step 6: Final answer
    x = 654.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.