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Finding the Fourth Proportional to 582.40, 802.98 and 382.90

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Solution

The fourth proportional to 582.40, 802.98 and 382.90 is: 527.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.40 : 802.98 = 382.90 : x
  2. Step 2: Convert to fraction form
    582.40/802.98 = 382.90/x
  3. Step 3: Cross multiply
    582.40x = 802.98 × 382.90
  4. Step 4: Simplify right side
    582.40x = 307,461.04
  5. Step 5: Solve for x
    x = 307,461.04/582.40
  6. Step 6: Final answer
    x = 527.92

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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.