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Finding the Fourth Proportional to 501.32, 751.56 and 285.08

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Solution

The fourth proportional to 501.32, 751.56 and 285.08 is: 427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.32 : 751.56 = 285.08 : x
  2. Step 2: Convert to fraction form
    501.32/751.56 = 285.08/x
  3. Step 3: Cross multiply
    501.32x = 751.56 × 285.08
  4. Step 4: Simplify right side
    501.32x = 214,254.72
  5. Step 5: Solve for x
    x = 214,254.72/501.32
  6. Step 6: Final answer
    x = 427.38

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