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Finding the Fourth Proportional to 582.04, 802.87 and 405.06

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Solution

The fourth proportional to 582.04, 802.87 and 405.06 is: 558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.04 : 802.87 = 405.06 : x
  2. Step 2: Convert to fraction form
    582.04/802.87 = 405.06/x
  3. Step 3: Cross multiply
    582.04x = 802.87 × 405.06
  4. Step 4: Simplify right side
    582.04x = 325,210.52
  5. Step 5: Solve for x
    x = 325,210.52/582.04
  6. Step 6: Final answer
    x = 558.74

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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.