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Finding the Fourth Proportional to 469.08, 646.56 and 386.01

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Solution

The fourth proportional to 469.08, 646.56 and 386.01 is: 532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.08 : 646.56 = 386.01 : x
  2. Step 2: Convert to fraction form
    469.08/646.56 = 386.01/x
  3. Step 3: Cross multiply
    469.08x = 646.56 × 386.01
  4. Step 4: Simplify right side
    469.08x = 249,578.63
  5. Step 5: Solve for x
    x = 249,578.63/469.08
  6. Step 6: Final answer
    x = 532.06

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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.