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Finding the Fourth Proportional to 585.51, 808.02 and 389.07

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Solution

The fourth proportional to 585.51, 808.02 and 389.07 is: 536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.51 : 808.02 = 389.07 : x
  2. Step 2: Convert to fraction form
    585.51/808.02 = 389.07/x
  3. Step 3: Cross multiply
    585.51x = 808.02 × 389.07
  4. Step 4: Simplify right side
    585.51x = 314,376.34
  5. Step 5: Solve for x
    x = 314,376.34/585.51
  6. Step 6: Final answer
    x = 536.93

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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.