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Finding the Fourth Proportional to 469.16, 646.60 and 455.84

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Solution

The fourth proportional to 469.16, 646.60 and 455.84 is: 628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.16 : 646.60 = 455.84 : x
  2. Step 2: Convert to fraction form
    469.16/646.60 = 455.84/x
  3. Step 3: Cross multiply
    469.16x = 646.60 × 455.84
  4. Step 4: Simplify right side
    469.16x = 294,746.14
  5. Step 5: Solve for x
    x = 294,746.14/469.16
  6. Step 6: Final answer
    x = 628.24

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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.