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Finding the Fourth Proportional to 352.16, 525.77 and 317.60

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Solution

The fourth proportional to 352.16, 525.77 and 317.60 is: 474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.16 : 525.77 = 317.60 : x
  2. Step 2: Convert to fraction form
    352.16/525.77 = 317.60/x
  3. Step 3: Cross multiply
    352.16x = 525.77 × 317.60
  4. Step 4: Simplify right side
    352.16x = 166,980.34
  5. Step 5: Solve for x
    x = 166,980.34/352.16
  6. Step 6: Final answer
    x = 474.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.