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Finding the Fourth Proportional to 417.30, 577.17 and 368.70

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Solution

The fourth proportional to 417.30, 577.17 and 368.70 is: 509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.30 : 577.17 = 368.70 : x
  2. Step 2: Convert to fraction form
    417.30/577.17 = 368.70/x
  3. Step 3: Cross multiply
    417.30x = 577.17 × 368.70
  4. Step 4: Simplify right side
    417.30x = 212,802.58
  5. Step 5: Solve for x
    x = 212,802.58/417.30
  6. Step 6: Final answer
    x = 509.95

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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.