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Finding the Fourth Proportional to 509, 700.88 and 435.14

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Solution

The fourth proportional to 509, 700.88 and 435.14 is: 599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 700.88 = 435.14 : x
  2. Step 2: Convert to fraction form
    509/700.88 = 435.14/x
  3. Step 3: Cross multiply
    509x = 700.88 × 435.14
  4. Step 4: Simplify right side
    509x = 304,980.92
  5. Step 5: Solve for x
    x = 304,980.92/509
  6. Step 6: Final answer
    x = 599.18

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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.