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Finding the Fourth Proportional to 482.95, 666.16 and 364.74

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Solution

The fourth proportional to 482.95, 666.16 and 364.74 is: 503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.95 : 666.16 = 364.74 : x
  2. Step 2: Convert to fraction form
    482.95/666.16 = 364.74/x
  3. Step 3: Cross multiply
    482.95x = 666.16 × 364.74
  4. Step 4: Simplify right side
    482.95x = 242,975.20
  5. Step 5: Solve for x
    x = 242,975.20/482.95
  6. Step 6: Final answer
    x = 503.11

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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.