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Finding the Fourth Proportional to 583.16, 805.14 and 510.26

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Solution

The fourth proportional to 583.16, 805.14 and 510.26 is: 704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.16 : 805.14 = 510.26 : x
  2. Step 2: Convert to fraction form
    583.16/805.14 = 510.26/x
  3. Step 3: Cross multiply
    583.16x = 805.14 × 510.26
  4. Step 4: Simplify right side
    583.16x = 410,830.74
  5. Step 5: Solve for x
    x = 410,830.74/583.16
  6. Step 6: Final answer
    x = 704.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.