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Finding the Fourth Proportional to 495.84, 740.40 and 461.82

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Solution

The fourth proportional to 495.84, 740.40 and 461.82 is: 689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.84 : 740.40 = 461.82 : x
  2. Step 2: Convert to fraction form
    495.84/740.40 = 461.82/x
  3. Step 3: Cross multiply
    495.84x = 740.40 × 461.82
  4. Step 4: Simplify right side
    495.84x = 341,931.53
  5. Step 5: Solve for x
    x = 341,931.53/495.84
  6. Step 6: Final answer
    x = 689.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.