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Finding the Fourth Proportional to 530.10, 795.66 and 287.14

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Solution

The fourth proportional to 530.10, 795.66 and 287.14 is: 430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.10 : 795.66 = 287.14 : x
  2. Step 2: Convert to fraction form
    530.10/795.66 = 287.14/x
  3. Step 3: Cross multiply
    530.10x = 795.66 × 287.14
  4. Step 4: Simplify right side
    530.10x = 228,465.81
  5. Step 5: Solve for x
    x = 228,465.81/530.10
  6. Step 6: Final answer
    x = 430.99

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Why These Related Problems?

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