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Finding the Fourth Proportional to 501.15, 751.58 and 176.47

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Solution

The fourth proportional to 501.15, 751.58 and 176.47 is: 264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.15 : 751.58 = 176.47 : x
  2. Step 2: Convert to fraction form
    501.15/751.58 = 176.47/x
  3. Step 3: Cross multiply
    501.15x = 751.58 × 176.47
  4. Step 4: Simplify right side
    501.15x = 132,631.76
  5. Step 5: Solve for x
    x = 132,631.76/501.15
  6. Step 6: Final answer
    x = 264.66

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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.