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Finding the Fourth Proportional to 587.30, 808.52 and 509.67

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Solution

The fourth proportional to 587.30, 808.52 and 509.67 is: 701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.30 : 808.52 = 509.67 : x
  2. Step 2: Convert to fraction form
    587.30/808.52 = 509.67/x
  3. Step 3: Cross multiply
    587.30x = 808.52 × 509.67
  4. Step 4: Simplify right side
    587.30x = 412,075.84
  5. Step 5: Solve for x
    x = 412,075.84/587.30
  6. Step 6: Final answer
    x = 701.65

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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.