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Finding the Fourth Proportional to 466.37, 643.77 and 417.16

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Solution

The fourth proportional to 466.37, 643.77 and 417.16 is: 575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.37 : 643.77 = 417.16 : x
  2. Step 2: Convert to fraction form
    466.37/643.77 = 417.16/x
  3. Step 3: Cross multiply
    466.37x = 643.77 × 417.16
  4. Step 4: Simplify right side
    466.37x = 268,549.79
  5. Step 5: Solve for x
    x = 268,549.79/466.37
  6. Step 6: Final answer
    x = 575.84

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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.