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Finding the Fourth Proportional to 595.17, 891.53 and 286.11

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Solution

The fourth proportional to 595.17, 891.53 and 286.11 is: 428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.17 : 891.53 = 286.11 : x
  2. Step 2: Convert to fraction form
    595.17/891.53 = 286.11/x
  3. Step 3: Cross multiply
    595.17x = 891.53 × 286.11
  4. Step 4: Simplify right side
    595.17x = 255,075.29
  5. Step 5: Solve for x
    x = 255,075.29/595.17
  6. Step 6: Final answer
    x = 428.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.