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Finding the Fourth Proportional to 417.84, 577.28 and 362.40

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Solution

The fourth proportional to 417.84, 577.28 and 362.40 is: 500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.84 : 577.28 = 362.40 : x
  2. Step 2: Convert to fraction form
    417.84/577.28 = 362.40/x
  3. Step 3: Cross multiply
    417.84x = 577.28 × 362.40
  4. Step 4: Simplify right side
    417.84x = 209,206.27
  5. Step 5: Solve for x
    x = 209,206.27/417.84
  6. Step 6: Final answer
    x = 500.69

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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.