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Finding the Fourth Proportional to 530.04, 795.35 and 420.08

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Solution

The fourth proportional to 530.04, 795.35 and 420.08 is: 630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.04 : 795.35 = 420.08 : x
  2. Step 2: Convert to fraction form
    530.04/795.35 = 420.08/x
  3. Step 3: Cross multiply
    530.04x = 795.35 × 420.08
  4. Step 4: Simplify right side
    530.04x = 334,104.55
  5. Step 5: Solve for x
    x = 334,104.55/530.04
  6. Step 6: Final answer
    x = 630.34

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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.