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Finding the Fourth Proportional to 585.87, 804.04 and 530.49

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Solution

The fourth proportional to 585.87, 804.04 and 530.49 is: 728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.87 : 804.04 = 530.49 : x
  2. Step 2: Convert to fraction form
    585.87/804.04 = 530.49/x
  3. Step 3: Cross multiply
    585.87x = 804.04 × 530.49
  4. Step 4: Simplify right side
    585.87x = 426,535.84
  5. Step 5: Solve for x
    x = 426,535.84/585.87
  6. Step 6: Final answer
    x = 728.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.