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Finding the Fourth Proportional to 417.88, 577.52 and 360.64

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Solution

The fourth proportional to 417.88, 577.52 and 360.64 is: 498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.88 : 577.52 = 360.64 : x
  2. Step 2: Convert to fraction form
    417.88/577.52 = 360.64/x
  3. Step 3: Cross multiply
    417.88x = 577.52 × 360.64
  4. Step 4: Simplify right side
    417.88x = 208,276.81
  5. Step 5: Solve for x
    x = 208,276.81/417.88
  6. Step 6: Final answer
    x = 498.41

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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.