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Finding the Fourth Proportional to 581, 802.19 and 406.58

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Solution

The fourth proportional to 581, 802.19 and 406.58 is: 561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    581 : 802.19 = 406.58 : x
  2. Step 2: Convert to fraction form
    581/802.19 = 406.58/x
  3. Step 3: Cross multiply
    581x = 802.19 × 406.58
  4. Step 4: Simplify right side
    581x = 326,152.38
  5. Step 5: Solve for x
    x = 326,152.38/581
  6. Step 6: Final answer
    x = 561.36

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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.