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Finding the Fourth Proportional to 468.37, 646.53 and 419.16

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Solution

The fourth proportional to 468.37, 646.53 and 419.16 is: 578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.37 : 646.53 = 419.16 : x
  2. Step 2: Convert to fraction form
    468.37/646.53 = 419.16/x
  3. Step 3: Cross multiply
    468.37x = 646.53 × 419.16
  4. Step 4: Simplify right side
    468.37x = 270,999.51
  5. Step 5: Solve for x
    x = 270,999.51/468.37
  6. Step 6: Final answer
    x = 578.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.